Question

Find the least number of five digits that can exactly divisible by 16 18 24 and​

Answer 1

Let us find the LCM of the numbers 16, 18, 24

18 = 2×3×3

16= 2 ×2×2×2

24 = 2×2×2 ×3

LCM =144

Least number = 10000

By Euclid's Lemma,

10000 =144×694 +64

9936 is divisible by 144

9936+144 =1084is the least 5 digit number divisible by 16, 18, 24