# What is the LCM of 30 and 40?

LCM(30,40) is the least possible number which is exactly divisible by both 30 and 40.

## Answer: LCM of 30 and 40 is 120

Lets see how to find the LCM of 30 and 40

## Explanation:

The Least Common Multiple (LCM ) is the smallest number, which the given numbers divide exactly without any remainder.

We can find the LCM of the numbers in many ways the commonly used methods are listed below.

## Methods to Find LCM of 30 and 40

Let us use the following methods to find the LCM of 30 and 40

- Listing the Multiples
- Formula

### Calculate LCM of 30 and 40 by Listing Common Multiples

In this method, we list the first few multiples of 30 and 40 and identify the common multiples.

LCM of 30 and 40 is the least among the common multiples.

### LCM of 30 and 40 by Formula

The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor(GCF) of (30, 40) = 10

Therefore

LCM of 30 and 40 = (30 × 40) / 10

= 1200/10 = 120

LCM of 30 and 40 = 120

LCM of 30 and 40 is unique, irrespective of the method we opt for.