# What is the LCM of 3, 5 and 11?

LCM of 3, 5 and 11 is the least number which is exactly divisible by all of the three numbers 3, 5 and 11.

## Answer: LCM of the given numbers 3, 5 and 11 is 165

We will learn two methods to find LCM of 3, 5 and 11.

## Explanation:

The least common multiple is the smallest number which is exactly divisible by both the given numbers.

- LCM of 3, 5 and 11 by Common Division Method
- LCM of 3, 5 and 11 by Prime Factorization

### Method 1: Method of Common Division to find LCM of 3, 5 and 11

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 11

Look at the steps given below to find LCM of 3, 5 and 11.

**Step 1: **The prime factorised form of each number is written 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 11: 11

LCM of 3, 5 and 11: 3 × 5 × 11 = 165

Note that 3, 5 and 11 all are prime numbers. LCM of the given set of prime numbers will be the product of the given prime numbers.