Question

Find the least number which when divided by 6, 15 or 18 leaves remainder 5 in each.

Answer 1

Here is your answer dear⬇️⬇️


To find the least number which when divided by 6, 15 and 18 leaves a remainder 5 in each case, we have to find the L.C.M. of 6, 15 and 18 and then add 5 in that number.

L.C.M. of 6, 5 and 18 

6 = 2*3
15 = 3*5
18 = 2*3*3

L.C.M. of 6, 15 and 18 = 2×3×3×5 = 90


$\therefore{90 + 5 = 95}$

Number is 95


Let's check⬇️

95/15
Quotient = 6
Remainder = 5

95/18
Quotient = 5
Remainder = 5

Answer 2

for 6 it is 11

for 15 it is 20

for 18 it is 23