# What is the LCM of 2, 4, 6, 8 and 10?

LCM of 2, 4, 6, 8 and 10 is the least integer that is completely divisible by 2, 4, 6, 8, and 10.

## Answer: LCM of 2, 4, 6, 8 and 10 is 120

We will learn two methods to find LCM of 2, 4, 6, 8 and 10

## Explanation

The Least Common Multiple of 2, 4, 6, 8 and 10 is the smallest natural number which is exactly divisible by 2, 4, 6, 8 and 10.

- LCM of 2, 4, 6, 8, 10 by Listing Common Multiples
- LCM of 2, 4, 6, 8, 10 by Common Division Method

### Method1: LCM of 2, 4, 6, 8 and 10 by Listing Common Multiples

The multiples of 2, 4, 6, 8, and 10 are shown below.

Multiples of 2 = 2, 4, 6,..., 118, 120, ...

Multiples of 4 = 4, 8, 12,..., 116, 120, ...

Multiples of 6 = 6, 12, 18,..., 114, 120, ...

Multiples of 8 = 8, 16...112, 120, ...

Multiples of 10 = 20 , 40 , ..., 110, 120

Least Common Factor of 2, 4, 6, 8, 10 = 120

### Method2: LCM of 2, 4, 6, 8 and 10 by Common Division Method

In the division method, we divide the 2, 4, 6, 8 and 10 simultaneously to find common and uncommon factors.

LCM(2, 4, 6, 8, 10) = 2 × 2 × 2 × 3 × 5 = 120