# What is the LCM of 10 and 50?

LCM of 10 and 50 is 50 which is the least number that is divisible by 10 and 50 with no remainders.

## Answer: LCM of 10 and 50 is 50.

We will learn two methods to find LCM of 10 and 50.

## Explanation:

Least Common Multiple of 10 and 50 is the smallest number which is divisible by 10 and 50 exactly.

- LCM of 10 and 50 by Listing Common Multiples
- LCM of 10 and 50 by Common Division Method

### Method1: LCM of 10 and 50 by Listing Common Multiples

Look at the list of multiples of 10 and 50 shown below.

Multiples of 10 = 10, 20, 30, 40, 50, ...

Multiples of 50 = 50, 100, ...

We can see, the lowest common multiple of 10 and 50 is 50.

### So, the LCM of 10 and 50 is 50.

### Method2: LCM of 10 and 50 by Formula

We can find LCM using the formula of LCM (a, b):

LCM (a, b) = (a × b) / HCF (a, b)

HCF (a, b) is the highest common factor of a and b.

Use this formula to find the LCM of 13 and 16

LCM(10, 5) = (10 × 50) / HCF (10, 50)

LCM(10, 50) = 500 / 10

LCM(10, 50) = 50

### So, LCM of 10 and 50 is 50.

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