# What is the LCM of 24, 15, 36?

LCM of 24, 15, 36 is the smallest number exactly divisible by all of them.

## Answer: LCM of 24, 15, 36 is 360

Let us see how to calculate LCM of 24, 15, 36.

## Explanation:

Least Common Multiple of 24, 15, 36 is the smallest number, which is exactly divisible by all of them without any remainder.

Let us calculate the LCM by 2 different methods

- LCM of 24, 15, 36 by common Division
- LCM of 24, 15, 36 using Common Multiples

### Method - 1 LCM of 24, 15, 36 by Division Method:

In this division method, we divide 24, 15, 36 simultaneously with prime numbers and stop it when we don't have a prime number to divide them further.

### Method 2: LCM of 24, 15, 36 using Common Multiples:

Multiples of 24 = 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, **360,..**

Multiples of 15 = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, **,...**

Multiples of 36 = 36, 72, 108, 144, 180, 216, 252, 288, 324, **360,..**

360 is the first number which is a multiple of 24,15 and 36. of

LCM of 24, 15, 36 = 360