Question

Find the least number which is exactly divisible by 12 15 and 20

Answer 1

60 is the LCM of 12, 15 and 20.

12 × 5

15 × 4

20 × 3

Answer 2

Given:

The given numbers are 12 , 15 and 20

To find:

The least number which is exactly divisible by 12 , 15 and 20

Solution:

We can find the least number which is exactly divisible by 12 , 15 and 20 by finding the LCM of three numbers,

The LCM can be find by using the prime factorization method,

Factors of 12 = 2 × 2 × 3

Factors of 15 = 3 × 5

Factors of 20 = 2 × 2 × 5

LCM of 12,15 and 20 is  2 × 2 × 3 × 5

LCM of 12,15 and 20 is 60

The least number which is exactly divisible by 12 , 15 and 20 is 60

Final answer:

The least number which is exactly divisible by 12 , 15 and 20 is 60.