# What is the LCM of 3, 5 and 15?

LCM of 3, 5 and 15 is the lowest number which is exactly divisible by 3, 5 and 15.

## Answer: LCM of 3, 5 and 15 is 15

We will learn two methods to find LCM of 3, 5 and 15.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 3, 5 and 15

- LCM of 3, 5 and 15 by Common Division Method
- LCM of 3, 5 and 15 by Prime Factorization

### Method 1: Method of Common Division to find LCM of 3, 5 and 15

In this division method, we divide the numbers simultaneously with prime numbers and stop it when we don't have a prime number to divide the given numbers.

### Method 2: Prime Factorisation Method to find LCM of 3, 5 and 15

Follw the steps given below to find the LCM of 3, 5 and 15 using prime factorization method.

**Step 1: **The prime factorised form of each number is wriiten which must be in exponential notation.

**Step 2:** Take the product of factors with their highest power.

Prime Factorisation of 3: 3

Prime Factorisation of 5: 5

Prime Factorisation of 15: 3 × 5

LCM of 3, 5 and 15: 3 × 5 = 15

### Therefore, LCM of 3, 5 and 15 is 15

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