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Question

The smallest 3-digit number which is completely divisible by 18, 24 and 32 is

A
13824
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B
288
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C
432
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D
576
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Solution

The correct option is B 288
Note that the smallest 3-digit number which is completely divisible by 18, 24 and 32 is the LCM(Least Common Multiple) of the numbers 18, 24 and 32.Thus,
218,24,3239,12,1623,4,1623,2,823,1,423,1,233,1,11,1,1
LCM=2×3×2×2×2×2×3=288
Thus, the smallest 3-digit number which is completely divisible by 18, 24 and 32 is 288.

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