# What is the LCM of 6,8 and 12?

The smallest possible number which is exactly divisible by 6, 8, and 12 is the LCM(6, 8, 12)

## Answer: LCM of 6, 8, and 12 is 24

Lets see how to find the LCM of 6, 8 and 12

## Explanation:

The smallest number which exactly divides the given numbers is called as least common multiple (LCM ).

## Most Common Methods to Find LCM of 6, 8 and 12

Let us use the following methods to find the LCM of 6, 8 and 12

- Listing the Multiples
- Common Division

### LCM of 6, 8, and 12 using Listing Method

In this process,

- we start with listing the first few multiples of 6, 8, and 12 and
- identify the common multiples.

The least among all the common multiples of 6, 8, and 12 is the LCM(6, 8, 12)

### LCM of 6, 8, and 12 using Common Division

The common division is a 2-step process, in which,

- we divide the numbers simultaneously with prime numbers and
- stop it when we don't have a prime number to divide the given numbers.

Irrespective of the method we choose the LCM of 6, 8, and 12 is the same.

### Therefore, LCM of 6, 8 and 12 is 24

Download FREE Study Materials

SHEETS