# What is the LCM of 25, 40 and 60?

LCM of 25, 40 and 60 is the smallest number which divides three of them exactly without leaving a remainder.

## Answer: LCM of 25, 40 and 60 is 600

The least common multiple of 25, 40 and 60 is the smallest number that is exactly divisible by three of them without any remainder

## Explanation:

Let us see how to calculate it below:

### LCM of 25, 40 and 60 using Common Division Method

In this method, we divide 25, 40 and 60 simultaneously with prime numbers until we don't have a prime number to divide them further.The product of the prime numbers used in the division is the LCM of 25, 40 and 60.

### LCM of 25, 40 and 60 by listing the common factors:

In this method, we list the first few multiples of 25, 40 and 60 to identify their common multiples.

Multiples of 25 = 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, 500, 525, 550, 575, **600,...**

Multiples of 40= 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, **600**,...

Multiples of 60= 60,120, 180, 240, 300, 360, 420, 480, 540, **600**,...

The least among the common multiples of 25, 40 and 60 is 600, which is its LCM.