# HCF and LCM Class 6 worksheet with answer  HCF and LCM Class 6 worksheet with answer

﻿HCF and LCM Class 6 worksheet. Download LCM and HCF class 6 worksheets with answers including HCF and lcm questions for class 6, word problems on lcm and HCF for class 6, H.C.F and L.C.M class 6th worksheets consist of 5 pages including questions on prime factorisation, using factor tree and ladder method, finding HCF Using common division, long division, and prime factorisation method, word problems on lcm and HCF

The formula for finding the highest common factor (HCF) of two or more numbers is:

HCF(a, b) = gcd(a, b) = the greatest number that divides both a and b without leaving a remainder.

The formula for finding the least common multiple (LCM) of two or more numbers is:

LCM(a, b) = (a * b) / HCF(a, b)

An alternative method to find the LCM of two numbers is to use the prime factorization of the numbers. The process is:

Find the prime factorization of each number.

Write down each factor the maximum number of times it appears in any of the numbers.

Multiply all the factors together to find the LCM.

For example, to find the LCM of 6 and 8, the prime factorization of 6 is 2*3 and 8 is 2^3. The LCM is (2^3)*3 = 24

You can also use a calculator or an LCM calculator online to find the LCM of larger numbers or a bigger set of numbers.

There are several ways to find the highest common factor (HCF) and least common multiple (LCM) of two or more numbers.

Using the division method:

Divide the larger number by the smaller number.

If the remainder is zero, the smaller number is the HCF.

If the remainder is not zero, divide the smaller number by the remainder.

Repeat the process until you get a remainder of zero. The last divisor is the HCF.

To find the LCM, multiply the numbers and divide the product by the HCF.

Using the prime factorization method:

To find the HCF, write down the prime factorization of each number.

Multiply the common prime factors of each number.

To find the LCM, write down the prime factorization of each number.

Multiply each factor the maximum number of times it appears in any of the numbers.

Using the Euclidean algorithm:

To find the HCF of two numbers, divide the larger number by the smaller number and get the remainder.

Divide the smaller number by the remainder and get the second remainder.

Repeat the process until the remainder is zero. The last divisor is the HCF.

To find the LCM, multiply the numbers and divide the product by the HCF.

You can also use a calculator or an HCF/LCM calculator online to find the HCF and LCM of larger numbers or a bigger set of numbers.

Here are a few examples of HCF and LCM questions that could be appropriate for students in class 6:

1. Find the HCF of 36 and 48.
2. Find the LCM of 12 and 16.
3. Find the HCF of 18 and 24 by using the division method.
4. Find the LCM of 15 and 20 by using the prime factorization method.
5. Find the HCF of 28 and 42 by using the Euclidean algorithm.
6. Find the LCM of 12, 16 and 20.
7. Find the HCF of 60 and 72 by prime factorization method
8. Find the LCM of 8,12 and 16 by division method
9. Express the HCF and LCM of 8 and 12 in terms of their prime factors
10. Find the HCF and LCM of two numbers which are not co-prime

Note that these are examples and the difficulty level may vary depending on the curriculum and the specific abilities of the students.

Topic - HCF AND LCM