Question

Find the least no of 5 digits that is exactly divisible by 16, 18, 24 ,30

Answer 1

STEP 1: Find the LCM

16 =2⁴

18 = 2 x 3²

24 = 2³ x 3

30 = 2 x 3 x 5

.

LCM = 2⁴ x 3² x 5

LCM = 720

..................................................................................................................................

STEP 2: Find the least number of 5 digits is exactly divisible by 16, 18, 24 and 30.

9999 ÷ 720 = 13 remainder 639

The least number of 5-digit number = 9999 + (720 - 639) = 10,080

...................................................................................................................................

Answer: The number is 10,080