# What is the LCM of 3, 9,15?

Least common multiple is the smallest positive number that is a multiple of two or more numbers

## Answer: LCM of 3,9 and 15 is 45

## Explanation:

### Finding LCM by listing common multiples:

a) First few multiples of 3, 9 and 15 are listed

b) The smallest common multiple of the three numbers will be the LCM

Let's find the multiples of 3,9 and 15

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45

Multiples of 9: 9, 18, 27, 36, 45

Multiples of 15: 15, 30, 45

Thus, according to the second step we observe that the smallest common multiple of 3, 9 and 15 is 45

Hence, LCM is 45

### To find LCM Common Division:

Let's use the common division method to simultaneously divide the numbers 3, 9 and 15 as shown below