Question

find the least number of 5 digits which is exactly divisible by 16,24 and 36

Answer 1

Step-by-step explanation:

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L.C.M of 16, 18, 24, and 30 is 720. 720 is only a 3 digit number. But we have to find the least five digit number. So we must multiply 720 by the smallest integer that will make it be at least 10000, which is the smallest 5-digit number.

Answer 2

Smallest five digit number = 10000

To find smallest five digit number exactly divisible by 16, 24, 36 and 54, first we have to find theirs LCM.

16=2*2*2*2

24=2*2*2*3

36=2*2*3*3

LCM=2*2*2*2*3*3*3=432

10000=(23*432)+64

OR

10000=(24*432)-368

10000=10368–368

Therefore smallest five digit number exactly divisible by 16, 24 and 36 is 10368.

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