# What is the LCM of 3, 6 and 12?

LCM of 3, 6 and 12 is the least number which divides 3, 6 and 12 completely.

## Answer: LCM of 3, 6 and 12 is 12

We will learn two methods to find LCM of 3, 6 and 12.

## Explanation:

Least Common Multiple of 3, 6 and 12 is the smallest number that exactly divides 3, 6 and 12 without leaving a remainder.

- LCM of 3, 6 and 12 by Common Division Method
- LCM of 3, 6 and 12 by Listing Common Multiples

### Method1: LCM of 3, 6 and 12 by Common Division Method

In this division method, we divide the numbers 3, 6 and 12 together with prime numbers and until we don't have a prime number to divide either of 3, 6 and 12.

So, we have LCM of 3, 6 and 12 = 2 × 2 × 3 = 12

### Method2: LCM of 3, 6 and 12 by Listing Common Multiples

Let's see a few multiples of 3, 6 and 12

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24 ...,

Multiples of 12 = 12, 24, 36, ...

Multiples of 6 = 6, 12, 18, 24, ...

Least Common Factor of 3, 6, and 12 = 12