# Calculate the LCM of 3 ,9 and 12

The least common multiple (LCM) of three numbers is the smallest number (not zero) that is a multiple of all the three numbers

## Answer: LCM of 3, 9 and 12 is 36

## Explanation:

We have multiple ways to calculate the LCM:

- Listing the multiples
- Common division method

### Method 1: Listing the multiples:

Here, we will be listing down the first few multiples of 3, 9 and 36 and will check the lowest multiple that is common to them

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24 , 27, 30, 33, 36

Multiples of 9: 9, 18, 27, 36

Multiples of 36: 36, 64

Thus, we see that the lowest multiple that is repeating for all the three numbers is 36

Hence, LCM of 3,9 and 12 is 36