Q. 94.1( 60 Votes )

Find the smallest 4-digit number which is divisible by 18, 24 and 32.

Answer :

LCM 0f 18, 24 and 32



LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 288

As, 288 is the smallest number divisible by 18, 24 and 32 and we have to find the smallest 4-digit multiple of 288 therefore we have to find the smallest 4-digit multiple of 288.

It can be observed that

288 × 3 = 864 and

288 × 4 = 1152

1152 is the smallest 4 digit multiple of 288.

Therefore, the smallest 4-digit number which is divisible by 18, 24 and 32 is 1152.

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