Find the smallest 4 digit number which is divisible by 18, 24, 32 ?



Find the smallest 4 digit number which is divisible by 18, 24, 32 ?

A. 1216

B. 1512

C. 1152

D. 1680

Answer : C. 1152


Explanation:

    LCM of 18, 24 and 32:
    --> 18 = 2 x 3 x 3
    --> 24 = 2 x 2 x 2 x 3
    --> 32 = 2 x 2 x 2 x 2 x 2
    LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288.

    The smallest four digit number that is divisible by 288:
    288 x 3 = 864
    288 x 4 = 1152

    Since 288 is divisible by 18, 24 and 32, 1152 is also divisible by all these numbers. Therefore, 1152 is the smallest four digit number divisible by 18, 24 and 32.



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