The least number of 5 digit which is exactly divisible by 16, 24,36,54

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Solution

First find the LCM of 16,24,36 and 54.
LCM=432.
Smallest 5 - digit no.=10000
Divide 10000 by 432.
Remainder=64
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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