Question

Find the least number of five digits that is exactly divisible by16,18,24,30

Answer 1

Hey

Here is your answer,

16 = 2 x 2 x 2 x 2
18 = 2 x 3 x 3
24 = 2 x 2 x 2 x 3
30 = 2 x 3 x 5
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The LCM of 16,18,24,30 is:
2 x 2 x 2 x 2 x 3 x 3 x 5
= 720

720 x 14 = 10080

∴ 10080 is the least 5 digit number that is divisible by 16,18,24,30.

Hope it helps you!