# What is the LCM of 7, 11, 21 and 22?

LCM of 7,11, 21, and 22 is the smallest number exactly divisible by all of them.

## Answer: LCM of 7, 11, 21, and 22 is 462

Least Common Multiple of 7,11,21, and 22 is the smallest number, which is exactly divisible by all of them without any remainder.

Let us see how to calculate it below:

## Explanation:

### LCM of 7, 11, 21, and 22 by Division Method:

In this division method, we divide 7, 11, 21, and 21 simultaneously with prime numbers and stop it when we don't have a prime number to divide them further.

The product of the prime numbers used for the common division is the LCM of 7, 11, 21, and 21

### LCM of 7, 11, 21, and 22 using Prime Factorization:

Write all the given numbers as the product of its prime factors

Prime factorization of 7 = 7

Prime factorization of 11=11

Prime factorization of 21 =7× 3, and

Prime factorization of 22 = 2×11

The prime factors 2, 3 ,7 ,11 occurs one time each in the prime factorization.

The product of all these prime factors is the LCM of 7, 11, 21, and 22, which is 2×3×7×11= 462.