Question

Find the least number that should be subtracted from the number 19967 so that it becomes divisible by 3,5,11.

Answer 1

If 19967 must be divisible by 3,5 and 11, then it must be divisible by the LCM of 3, 5 and 11
LCM of 3,5,11 = 165

If you divide 19967 with 165, you will get a remainder 2.

So, 2 must be subtracted from 19967 so that it becomes divisible by 3,5,11