how to solve ' find the least number that should be added to to 36516 so that the result is exectly divisible by 456

Iam doing this problem inorder to explain it.

First of all divide 36516 with 456 and record the quotient and remainder. The quotient will be 80 and the remainder wil be 36.

Then multiply the quotient (80) thus got with 456 (i.e.456*80) and you will get an answer as 36480.

So if u add 456 to 36840 to u will get the next number divisible by 465.

But we have to find the number that hav to be added frm 36516.

So just subtract the remainder(36) frm 456 and add with 36516 and u will get the next number divisible by 456.

i.e. 456 - 36 = 420.

SO the least number that should be added to 36516 is 420.

Hope u understood the method and this helped u much.