# What is the LCM of 12, 15, 20 and 27?

LCM of 12, 15, 20 and 27 is the smallest number that is exactly divisible by all four of them.

## Answer: LCM of 12, 15, 20 and 27 is 540.

Let us see how to find the LCM of 12, 15, 20 and 27

## Explanation:

Least Common Multiple is the smallest number that will divide 12, 15, 20 and 27 exactly without a remainder.

Let us see how to calculate it below:

### LCM of 12, 15, 20 and 27 by Division Method:

In this division method, we divide 12, 15, 20 and 27 simultaneously with prime numbers and stop it when we don't have a prime number to divide them further.

### LCM of 12, 15, 20 and 27 using Prime Factorization:

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

Prime factorization of **12** = 2 x 2 x 3 = 2^{2} x 3,

Prime factorization **15** = 5 x 3 ,

Prime factorization **20** = 2 x 2 x 5 = 2^{2} x 5 , and

Prime factorization **27**= 3 x 3 x 3 = 3^{3}

The prime factors 2^{2}, 3^{3} and 5 occur in the prime factorization.

So, the product of all these prime factors is 2^{2} x 3^{3} x 5 = 540