Question

Find the least number of five digits which is exactly divisible bye 16 18 24 and 30

Answer 1

16 = 2×2×2×2

18= 2×3×3

24 = 2×2×2×3

30 = 2×3×5

So lcm(16, 18, 24, 30) = 2×2×2×2×3×3×5 = 720

But 720 is a three digit number and we find the least five digit number.

We know that smallest five digit number is 10000, So we divide 10000 by 720, we get 13.89.

So the smallest integer greater than that is 14.

So our number = 720 × 14 = 10080.