Question

trick to find the smallest number of five digit exactly divisible by 16, 24, 36 and 54

Answer 1

First find the LCM of 16,24,36 and 54.

16 = 2*2*2*2

24 = 2*2*2*3

36 = 2*2*3*3

54 = 2*3*3*3

LCM=432.

Smallest 5 - digit no. = 10000

Divide 10000 by 432.

Remainder=64

Formula = smallest no. + ( L.C.M. + REMAINDER)

Req. no. = 10000+(432-64)

              =10000+368

              =10368

Ans. = 10368 is the smallest 5 digit no. exactly divisible by 16,24,36 and 54.

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Answer 2

trick to find the smallest number of five digit exactly divisible by 16, 24, 36 and 54

To find the smallest number we have to find the l c m of 16, 24, 36 and 54

So, the answer is 10368

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