Question

Find the least number which when divided by 5,8,19 leaves remainder 2,5 and 15

Answer 1

10,16,285are the some of the number which leaves the remainder 2,5,15

Answer 2

The least number divisible by ,5 ,8 and 19 is the H.C.F of 5,8,19.

H.C.F of (5,8,19)= As 5,8,19 are coprime= 5 × 8 × 19=760

As,we have to find  least number which when divided by 5,8,19 leaves remainder 2,5 and 15 respectively.

As,  5 -2=3, 8-5=3, and 19-16=3

So number is 760 +3= 763