# What is the LCM of 12, 18 and 24?

LCM of 12, 18 and 24 is the smallest number which divides 12, 18 and 24 exactly without a remainder.

## Answer: LCM of 12, 18 and 24 is 72

Lets see how to find the LCM of 12, 18 and 24

## Explanation:

For 12, 18 and 24 the smallest number which would be perfectly divisible by them is their LCM which is 72. Let us see how to calculate it below:

Least Common Multiple of 12, 18 and 24 is the smallest number that will divide 12, 18 and 24 exactly.

### Methods to Find the LCM of 12, 18 and 24

### LCM of 12, 18 and 24 by Listing Method

List the first few multiples of 12, 18 and 24 and find the common multiples.

- Multiples of 12: 12, 24, 36, 48, 60,
**72**, 84, 96 - Multiples of 18: 18, 36, 54,
**72**, 90, 108 - Multiples of 24: 24, 48,
**72**, 96 and 120

Observe that 72 is the smallest common factor of 12, 18 and 24. So, LCM of 12, 18 and 24 is 72

### LCM of 12, 18 and 24 by Common Division Method

Here we will divide the numbers 12, 18 and 24 simultaneously with prime numbers until we don't have a prime number to further divide both 12, 18 and 24

Irrespective of the method, the answer to LCM of 12, 18 and 24 is the same.