# What is the LCM of 10 and 30?

LCM of 10 and 30 is the smallest number which divides both 10 and 30 exactly without a remainder.

## Answer: LCM of 10 and 30 is 30

The two methods that are used to find the LCM of 10 and 30 are given below.

## Explanation:

For 10 and 30, the smallest number which will be perfectly divisible by them is their LCM which is 30. There are two methods used below to find the LCM(10, 30)

- LCM of 10 and 30 by Listing Method
- LCM of 10 and 30 by Common Division Method

Least Common Multiple of 10 and 30 is the smallest number which will divide 10 and 30 exactly.

### Method1: LCM of 10 and 30 by Listing Method

List the first few multiples of 10 and 30 and find the common multiples.

Multiples of 10: 10, 20, 30, 40, 50, 60,...

Multiples of 30: 30, 60, 90,120,...

The smallest among the common multiples is the LCM of 10 and 30, which in the above case we can see is 30. So, LCM of 10 and 30 is 30

### Method2: LCM of 10 and 30 by Common Division Method

Here we will divide the numbers 10 and 30 simultaneously with prime numbers until we don't have a prime number to further divide both 10 and 30

From this method also, LCM of 10 and 30 is 30