Question

What is the greatest number of 5 digits which is divisible by 24 36 54 72

Answer 1

Answer:

99792 (LCM = 216, and 99792 is the greatest 5 digit multiple of 216)

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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

54=2*3*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, 36 and 54 is 10368

Thank you.