Question

The number lies between 100000 and 110000 which is exactly divisible by 8,15 and 21 is

Answer 1

The number which is divisible by 8, 15, 21 is also divisible by the LCM of the number.

The LCM of 8,15,21 is:

8=2x2x2

15=3x5

21=3x7

If we divide 110000 by 840, we will find out that it is not exactly divisible and we get 800 as remainder.

So, the number which is divisible by 840 and which lies between 100000 and 110000 is:

110000-800=109200

Hence, 109200 is exactly divisible by 8,15,21.