# What is the LCM of 40, 50, 60?

LCM of 40, 50 and 60 is the integer that divides 40, 50 and 60 leaving any zero.

## Answer: LCM of 40, 50 and 60 is 600.

We will see two methods to find LCM of 40, 50 and 60.

## Explanation:

Least Common Multiple of 40, 50 and 60 is the least number that divides 40, 50 and 60 exactly.

- LCM of 40, 50 and 60 by Listing Common Multiples
- LCM of 40, 50 and 60 by Common Division Method

### Method1: LCM of 40, 50 and 60 by Listing Common Multiples

Look at the multiples of 40, 50 and 60

Multiples of 40 = 40, 80, 120, ..., 560, 600, 640, ...

Multiples of 60 = 60, 120, 180, ..., 540, 600, 660, ...

Multiples of 50 = 50, 100, ..., 550, 600, 650, ...

Least Common Factor of 40, 50 and 60 = 600

So, LCM of 40, 50, 60 = 600

### Method2: LCM of 40, 50, 60 by Common Division Method

In this division method, we divide the numbers 40, 50, 60 with prime numbers, and until no more numbers.

The answer to LCM of 40, 50 and 60 is 600, irrespective of the methods.

### Therefore, LCM of 40, 50 and 60 is 600.

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