The least number that is divisible by all the numbers from 1 to 10 (both inclusive)

Asked by arajeevshashank | 4th Apr, 2020, 04:07: PM

Expert Answer:

We know that any given number is always divisible by 1.

So, we will find the prime factorisation of each number from 2 to 10.

2 = 2 × 1

3 = 3 × 1

4 = 2 × 3

5 = 5 × 1

6 = 2 × 3

7 = 7 × 1

8 = 2 × 2 × 2 = 23

9 = 3 × 3 = 32

10 = 2 × 5

LCM= 23 × 32 × 5 × 7 = 2520

Therefore, the least number that is divisible by all the numbers from 1 to 10 (both inclusive) is 2520.

Answered by Yasmeen Khan | 4th Apr, 2020, 04:47: PM