# What is the LCM of 4, 9 and 12?

LCM of 4, 9 and 12 is the smallest number exactly divisible by all of them.

## Answer: LCM of 4, 9 and 12 is 36

Let's calculate the LCM of 4, 9 and 12

## Explanation:

The Least Common Multiple (LCM) of three numbers a, b and c is the smallest number that divides a, b and c exactly.

We can find the LCM of the numbers in many ways.

## Methods to Find LCM of 4, 9 and 12

Least Common Multiple of 4, 9 and 12 is the smallest number, which is exactly divisible by all of them without any remainder.

We will explain two find the LCM of 4, 9 and 12

### LCM of 4, 9 and 12 by Division Method:

In this division method, we divide 4, 9 and 12 simultaneously with prime numbers and stop it when we don't have a prime number to divide them further.

### LCM of 4, 9 and 12 using Common Multiples:

Let us list the first few multiples and identify the common multiples, the least among them is the LCM of 4, 9 and 12.

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36

Multiples of 9 = 9, 18, 27, 36

Multiples of 12 = 12, 24, 36

Clearly, 36 is the least common multiple of 4, 9 and 12

So, LCM of 4, 9 and 12 = 36