Lcm is the smallest integer which is a multiple of two or more numbers. Solved 50 lcm and hcf questions and answers section with explanation for various online exam preparation, various interviews, logical reasoning category online test. The lowest common multiple lcm of 2 or more numbers is the smallest number that is a multiple of each of them. Why you cant get decimal answers straight away, you get a fraction. Aptitude test pdf free download questions and answers with explanations. M with explanation for various interview, competitive examination and entrance test. Hcf and lcm index, mathsfirst, institute of fundamental. Find the hcf and lcm of example 12 and 20 18 and 24 30 and 42 b 15 and 40 7 and 12 9 and 60 write 24 as a product of its prime factors. If a number p divides another number q exactly, we say that p is a factor of q i.
Th e least common multiple, or lcm, of 5 and 7 is 35. Hcf is also known as the greatest common divisor gcd or the greatest common factor gcf. Yaha aapke liye maths tricks for fast calculation pdf free download, quicker maths pdf, handwritten notes in hindi, important questions for ssc cgl with solution in hindi available hai. Properties of hcf and lcm formulas and solved problems byjus. The lcm is the product of all primes that are common to all numbers. Download this lcm and hcf formula pdf and share with yours friends. Every time you click the new worksheet button, you will get a brand new printable pdf worksheet on lcm and hcf. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32 and so on. Here you can find both objective type and multiple choice aptitude. Examples from edexcel igcse past papers on finding prime factorisations, hcf highest common factor and lcm lowest common multiple 1. Required number hcf of x r, y r and z r largest number which divides x, y, z to leave same remainder h. For example the highest common factor of 16 and 24 is 8. A multiple of a given number is obtained by multiplying that number by a whole number.
Use the online calculator and find the lcm by entering the two or more numbers. A common factor of two or more numbers is a number that divides each of them exactly. Highest common factor hcf and least common multiple lcm are calculated by either factorization method or division method. 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. Properties of hcf and lcm formulas and solved problems. Factors, multiples, primes, prime factor, hcf, lcm. The lcm of two or more given numbers is the least number which is exactly divisible by each of them. Hcf obtained in step 2 will be the hcf of the three numbers. F of two or more numbers is the greatest number that divides each of them exactly. Factors, multiples, primes, prime factors, hcf and lcm. A number is said to be a factor of another number it divides the other number exactly. Due to some limitations in web options, math symbols, notations were unable to view properly. M are an important concept related to factors or multiples of numbers. Lcm and hcf shortcut tricks formulas, problems example.
Hcf and lcm calculator highest common factor and least. The followings are the relation between hcf and lcm. Quantitative aptitude questions and answers hcf and lcm. Lcm refers to least common factor of the multiples of the given numbers. F of two or more than two numbers is the greatest number that divides each of them exactly. Highest common factor hcf the highest common factor of two numbers is the largest integer that divides into both numbers without a remainder. Gail and hermione are asked to find 90 as a product of its prime factors. We know that the factors of a number are exact divisors of that particular number. The highest common factor hcf is defined as the largest number that divides evenly into all the numbers from a group of numbers. Lcm and hcf study materialarithmetic study material. Gail begins by writing 90 9 x 10 hermione begins by writing 90 3 x 30 work out a final answer for gail. Lcm and hcf questions and answers updated daily aptitude.
Hcf of two or more numbers is the greatest number which divide all of them without any remainder. Quantitative aptitude lcm hcf problems pdf download with. In mathematics computation of the least common multiple and greatest common divisors of two or more numbers. Lcm of two or more numbers is the smallest number which is divisible by all the given numbers. Lcm and hcf formulas, shortcuts and tricks with examples. Lets proceed to the highest common factor hcf and the least common multiple lcm. What are the applications of hcf and lcm in daily life. Lcm x hcf profit and loss if the cost price of x articles is equal to the selling price of y articles, then gain if x y% 100 x y y. F is the highest common factor or also known as greatest common divisor, the greatest number. Least common multiple lcm refers to the smallest quantity of number that is divisible by two or more given quantities of number without a remainder. C program to find hcf and lcm programming simplified. As you all know that lcm and hcf is important topic and asked in many of exams, so who are engaged in preparing for government jobs can download pdf lcm and hcf tricks in hindi from here.
For example, to find the lcm of 6, 18, 28 list the prime factors of each. Basic arithmetic plays a vital role in laying a strong foundation of mathematics, a subject that is dreaded by many. You can see the explanation for the questions of sensation and a good user interface. Find the hcf or lcm of numbers using prime factors key ideas. Express 225 as the product of powers of its prime factors. 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. Lets learn about lcm, hcf, and relation between hcf and lcm of natural numbers. Relation between hcf and lcm definitions, and formulas.
The code below find the highest common factor and the least common multiple of two integers. Express 2 as the product of powers of its prime factors. Here 20 is the least common multiple of 2, 4, 5, and 10. Mathematics stack exchange is a question and answer site for people studying math at any level and professionals in related fields. Candidates who are going to appear in any competitive exam can check lcm and hcf shortcut tricks and formulas from here. Prime factors of 15 3 x 5 prime factors of 24 2 x 2 x 2 x 3 step 2. Any integer greater than 1 can be written as a product of primes. Problems on lcm and hcf aptitude questions and answers. Find a pair of numbers which have the hcf and lcm indicated not including the numbers given.
Worksheets math grade 5 factoring lowest common multiple. The least or smallest common multiple of any two or more given natural numbers are termed. If you prepare properly, you can score 100 percent from this part. Relation between hcf and lcm definitions, and formulas byjus. All students, freshers can download aptitude quiz questions with answers as pdf files and ebooks. Lowest common multiple lcm of two numbers under 30. Lcm and hcf shortcuts gr8ambitionz prepare for ibps po.
Math tricks, formula pdf and questions ebook download in hindi. In case of calculation of hcf of more than two numbers, first of all hcf of any two. Allindiaexams provides you lots of fully solved aptitude problems on lcm and hcf questions and answers with explanation. Fully solved examples with detailed answer description.
Both hcf and lcm of given numbers can be found by using two methods. Lcm least common multiple and hcf highest common factor formula. Hcf of two or more numbers is the greatest factor which divides each of them exactly. You can choose to include answers and stepbystep solutions. Lcm hcf questions, formulas, tricks and pdf download. The highest common factor hcf, also known as the greatest common divisor gcd, of two or more numbers, is the largest number which is. In the second activity, students then use these prime factors to help them find the lcm and hcf of pairs of numbers using venn diagrams to help them with given scaffold. Hcf and lcm questions answers mcq quantitative aptitude. This is the aptitude questions and answers section on problems on h.
In this section, you will learn how to find highest common factor hcf and least common multiple lcm of the given numbers. Here, the highest common factor of 4, 6 and 8 is 2. We will discuss concept of least common multiple and lcm formula. Least common multiple is the least nonzero number in common multiples of two or more numbers. Hcf is highest common factor, so we need to get the common highest factors among given values. 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. Lcm least common multiple and hcf highest common factor. Below are six versions of our grade 5 math worksheet on finding the lowest common multiple of two numbers. The definition can be extended to more than two integers. Lcm and hcf of two numbers are given we have to find the numbers. If you are preparing for psc and upsc exams, one of the important section in quantitative aptitude is lcm and hcf. The multiples of 6 are 6, 12, 18, 24, 30 and so on.
Category questions section with detailed description, explanation will help you to master the topic. The least common multiple of the denominators of a fraction can be termed as least common denominator lcd. Finding hcf and lcm from prime factors matching activity. Learn here how to find lcm and hcf with simple steps. Lcm hcf calculate the lowest common multiple lcm and the highest common factor hcf of a group of numbers of any length. Hcf highest common factor this is the biggest number that will divide into the given numbers. With your concepts clear right from the beginning, you wont face any difficulty in understanding the various advanced concepts that are taught. Identifying numbers that have the same given hcf and lcm. The product of lcm and hcf of any two given natural numbers is equivalent to the product of the given numbers. Solved examples with detailed answer description, explanation are given and it would be easy to understand.