Question

Find the least number which when divided by 12, 16, 24, and 36 leaves 5 as a remainder in each case.

Answer 1

Answer:

Lcm of 12,16,24,36

12=2×2×3

16=2×2×2×2

24=2×2×2×3

36=2×2×3×3

Lcm=144

smallest no. 144

remainder =7

so,

we add 7 to the LCM

=144+7

=151