Question

# The L.C.M. of 50 and 60 is___________.

- 200
- 300
- 400
- 500

Hint:

### The least common multiple (LCM) of two or more given numbers is the smallest number that is a multiple of all the given numbers.

Find the prime factors of 50 and 60.

Find the common factors and multiply it with the rest of the numbers.

## The correct answer is: 300

### Step 1: Find the prime factors of 50 and 60.

50 = 2 x 5 x 5

60 = 2 x 2 x 3 x 5

Step 2:

LCM = 2 x 5 x 5 x 2 x 3

LCM = 300

The correct option is (b) 300.

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