In bank po exams we can get 3 to 5 marks with use of hcf and lcm. Hcf of two or more numbers is the greatest factor which. This is aptitude questions and answers section on problems on lcm and hcf with explanation for various interview, competitive examinations and entrance tests. For instance, take 8 and 12, the gcd of these two numbers or the hcf of two numbers will be 4. Applications of hcf and lcm tricks for cat 1 the greatest number dividing a, b and c leaving remainders of x1, x2 and x3 is the hcf of ax1x1, bx2x2 and cx3x3. The lcm of two or more given numbers is the least number which is exactly divisible by each of them.
Writing a program to find the hcf and lcm of two whole numbers is a popular tutorialquestion in c programing language. A prime factor decomposition puzzle by tes user mrmawson, and some questions to deepen understanding by maths4everyone. Hcf and lcm worksheet including 3 numbers teaching resources. Highest common factor hcf or lowest common multiple lcm. Properties of hcf and lcm formulas and solved problems. Use the lcm function when you want to calculate the least common multiple of integers. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A number is said to be a factor of another number it divides the other number exactly. The smallest number which when divided by a, b and c leaves a remainder r in each case. F least common multiple lcm of two or more numbers is the smallest number that is a multiple of all the numbers. Lcm and hcf shortcuts gr8ambitionz prepare for ibps po. Hcf lcm maths facts and formulas online for schools in india.
This quiz involves in problems on lcm and hcf mcq online test with various types of questions and answers. Lcm the lowest common multiple lcm of a group of numbers is the smallest number not zero that is a multiple of all the numbers in the group. Here, the shortcut to find hcf and lcm is using venn diagram. Lcm and hcf questions and answers updated daily aptitude. In arithmetic, the least common multiple or lcm of two numbers say a and b, is denoted as lcm a,b. The least or smallest common multiple of any two or more given natural numbers are termed as lcm. Through his lessons, dhiraj has made sure that he makes aspirants understand the fundamental concepts related to lcm hcf. F product of smallest power of each common prime factor l. To use a keyboard shortcut, press and hold one or more modifier keys and then press the last key of the shortcut. Aug 24, 2016 word problems where pupils have to identify whether it is a hcf or lcm question before answering.
M of two or more numbers is greater than or equal to the greatest number of given numbers. Tricks to solve questions on lcm and hcf in ssc cgl exam. Hcf lcm maths formula lessons online india my solution guru. Note, m and n are coprime have no factor in common because h is the hcf of the two numbers. In this course, yet another important topic from quantitative aptitude is discussed by dhiraj singh chauhan. Lcm hcf calculate the lowest common multiple lcm and the highest common factor hcf of a group of numbers of any length. A common factor of two or more numbers is a number that divides each of them exactly. When you have found the hcf of the numbers a and b the lcm can be found using the following formula.
Least common multiple lcm of two or more numbers is the smallest number that is a multiple. Lcm and hcf formulas, shortcuts and tricks with examples. If the numbers have no common factor, the task is even easier. Type 1 when various number a, b, c is divided by number n and gives the same remainder r in each case. Page 2 0f 3 lcm and hcf questions and answers updated daily. Since this greatest common divisor or gcd is also known as the highest common factor or hcf. Formulas of hcf and lcm questions answers mcq quantitative. Featuring the ladder method rather than the venn diagram approach. Candidates can take the problems on lcm and hcf aptitude quiz from this article. The excel lcm function returns the least common multiple of integers. Greatest four digit number 9999 on dividing 9999 by 252, remainder 171 therefore, 9999171 9828 problem 4. Lcm of 12,18,21,28 254 therefore, required number must be divisible by 254. In this lesson, the concept behind lcm and hcf questions is explained with basic examples. Solved 50 lcm and hcf questions and answers section with explanation for various online exam preparation, various interviews, logical reasoning category online test.
Please visit for complete videos series please visit for test series for sbi, ibps,ssc, railways. Both hcf and lcm carry a great significance in mathematics, physics and engineering. Mathematics stack exchange is a question and answer site for people studying math at any level and professionals in related fields. Many of the shortcuts that use the ctrl key on a windows keyboard also work with the control key in office 2016 for mac. In this video i teach you a three basic shortcuts f.
Hcf and lcm shortcut formula aptitude edit hcf and lcm important formulas, shortcut methods and tricks. What are the applications of hcf and lcm in daily life. C program to find hcf and lcm programming simplified. The product of least powers of common prime factor gives hcf example. The numbers which exactly divide a given number are called the factors of that number. Category questions section with detailed description, explanation will help you to master the topic. Hcf and lcm important formulas, shortcut methods and tricks. I use this with my year 8 lower set to consolidate.
Lcm and hcf tricks, problems and formulas bankexamstoday. After finding first two numbers hcf the new dividend will be the next lowest number and the divisor will be the hcf of first two highest. Hcf and lcm are two important conceptschildren should be very clear about these conceptsstudents preparing for competitive examinations should see this video for grasping the concept and. The product of two numbers is equal to the product of their hcf and lcm. Hcf of two numbers holds all factors common to both the numbers. Mar 27, 2014 note, m and n are coprime have no factor in common because h is the hcf of the two numbers. For this question we need to take common factors first, and then lowest powers. Problems on lcm and hcf aptitude questions and answers.
Using venn diagram is the easiest way to find the highest common factor and least common multiple of two or more numbers. Resolve each one of the given numbers into a product of prime factors. Sreedhars college for competitive exams 81,706 views. Word problems where pupils have to identify whether it is a hcf or lcm question before answering. Category questions section with detailed description. There are two types of question usually asked in the examination based on h. Jun 11, 2019 for hcf of two numbers matha, bmath that are roughly the same size. F of two or more numbers is smaller than or equal to the smallest number of given numbers. If you are using a spreadsheet such as excel there are functions named lcm and gcd for calculating the lcm and hcf.
Lcm is known as smallest common multiple or lowest common multiple or least common multiple of given numbers. For example if a number divides 51, 128, 298 and leaves 3, 8 and 10 as the remainders then the largest number to do so would be the hcf of 48, 120, 288 24. Common office for mac keyboard shortcuts office support. Mar 04, 2018 first express the fractions in their lowest terms. Two numbers are said to be relatively prime, mutually prime, or co. To find the hcf and lcf of two number in java programming, you have to ask to the user to enter the two number, to find the hcf and lcf of the given two number to display the value of the hcf and lcm of the two numbers on the output screen as shown in the following program. Lcm and hcf shortcuts gr8ambitionz prepare for ibps po x.
As the course progress, one would find different sets of questions on lcm hcf and most of which have appeared previously in examinations. Download this app from microsoft store for windows 10 mobile, windows phone 8. The hcf can found in the following two ways prime factorization method. Get over 200 excel shortcuts for windows and mac in one handy pdf. By pressing certain key combinations, you can do things that normally need a mouse, trackpad, or other input device. Mac keyboard shortcuts by pressing certain key combinations, you can do things that normally need a mouse, trackpad, or other input device. For example, to find the lcm of 6, 18, 28 list the prime factors of each. Extremely helpful to crack entrance exams like mba, banking. For hcf of two numbers matha, bmath that are roughly the same size. Highest common factor hcf the hcf of two or more than two numbers is the greatest number that divides each of them exactly. Lcm concept and shortcut methods lcm is known as smallest common multiple or lowest common multiple or least common multiple of given numbers.
How to use the excel lcm function to get the least common multiple or two or more. If one of the numbers is 15, find the other number. The code below find the highest common factor and the least common multiple of two integers. Find their difference mathabmath, and find the hcf of mathamath and mathabmath. Highest common factor hcf or lowest common multiple lcm word. The least common multiple is the smallest positive integer that is a multiple of all. Lets learn about lcm, hcf, and relation between hcf and lcm of natural numbers. The least number which is exactly divisible by all the given numbers is lcm. Hi friends, here i am going to explain about hcf and lcm. The common multiples of 3 and 4 are 12,24 and so on.
A number x is said to be multiple of y when x is exactly divisible by y. Tips and tricks and shortcuts to solve hcf and lcm questions. Hcf and lcm shortcuts in tamil tnpsc study materials. For example, to use commandc copy, press and hold the command key, then the c key, then. Tips and tricks and shortcuts on hcf and lcm problems prepinsta. If number p divided another number q exactly, we say that p is a factor of q. How to find the lcm aka lcd in two easy steps mathchat.
The lcm in that case is simply the product of the numbers. Gmat number properties lcm hcf wizako gmat prep blog. Formulae for calculating lcm and hcf of rational numbers have also been discussed. Jun 10, 2017 hcf and lcm are two important conceptschildren should be very clear about these conceptsstudents preparing for competitive examinations should see this video for grasping the concept and. Mar 23, 2018 applications of hcf and lcm tricks for cat 1 the greatest number dividing a, b and c leaving remainders of x1, x2 and x3 is the hcf of ax1x1, bx2x2 and cx3x3. Lcm and hcf short tricks with examples bankexamstoday. Trick 32 shortcuts for hcf and lcm problems youtube. The smallest number which is exactly divisible by a, b and c is l. Lcm and hcf shortcut tricks and formulas question paper. In this case hcf of 90 and 126 is 18 if more than two numbers hcf is to be find out first dividend is the highest number and first divisor is the second largest number.
Lcm and hcf short tricks for all competitive exams part. On the other hand, least common multiple lcm is the smallest common multiple of the whole numbers. Lcm and hcf shortcut tricks page 2 lcm and hcf important questions page 3 lcm and hcf video lecture page 4. The least number which is exactly divisible by each one of the given numbers is called their l.
Winmeen january 31, 2016 aptitude, bank, maths 3,886 views. Here you will get c program to find lcm and hcf of two given numbers. The hcf of the sum of the numbers and their lcm is equal to the hcf of the numbers. A powerpoint explaining how to calculate the highest common factor and lowest common multiple without using prime factorisation and the venn diagram method also includes this as a recap for students who which to carry on using it. Division method division method is short cut method of lcm 1. In this section, we will learn the shortcut to find hcf and lcm. Here 20 is the least common multiple of 2, 4, 5, and 10. Express each one of the given numbers as the product of prime factors. To find the hcf and lcf of two number in c programming, you have to ask to the user to enter the two number, to find the hcf and lcf of the two number to display the value of the hcf and lcm of the two numbers. Find the hcf of 2 4 x 5 2 x 7 3 x 11 2, 7 6 x 5 4 x 2 7 x, 5 6 x 2 2 x 7 4 x 17. F least common multiple lcm of two or more numbers is the smallest number that is. The least common multiple is the smallest positive integer that is a multiple of all of the numbers supplied as arguments.
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