Find a smallest number of 5 digits which is exactly divisible by 24,36 and 48.

Smallest number of 5 digits = 10000

Any number which has to be divisible by 24, 36, 48 has to be a common multiple of these.

So, LCM (24, 36, 48) = 288

 

10000 is not divisible by 288.

So the required number has to be greater than 10000.

On dividing 10000 with 288, we get quotient as 34 and remainder as 208.

So, the required number is 288 x 35 = 10080