Question

Find the least positive integer which on diminished by 5 is exactly divisible by 36 and 54.

Answer 1

Solution:-
For the solution of this question we have to find L.C.M of 36 and 54.
L.C.M. of 36 and 54 = 2×2×3×3×3 = 108
Now,
The least number = (L.C.M. of 36 and 54) + 5
⇒ 108+5 = 113
Hence 113 is the least positive integer which on diminished by 5 is exactly divisible by 36 and 54.

Answer 2

LCM=
$2 \times 2 \times 3 \times 3 \times 3 = 108$
Least number is (LCM OF 36 & 54) +5
108+5=113