Find the least number that is divisible by all the numbers between 1 and 10 (both inclusive).

Solution:

ANSWER:

TO FIND: Least number that is divisible by all the numbers between 1 and 10 (both inclusive)

Let us first find the L.C.M of all the numbers between 1 and 10 (both inclusive)

1 = 1

2 = 2

3 = 3

4 = 22

5 = 5

6 = 2 × 3

7 = 7

8 = 23

9 = 32

10 = 2 × 5

L.C.M $=2520$

Hence 2520 is the least number that is divisible by all the numbers between 1 and 10 (both inclusive)