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in Number System by (65.6k points)

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

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LCM of 18, 24, and 32

LCM = 2 × 2 × 2 × 2 × 2 × 3 × 3 = 288

We have to and the smallest 4-digit multiple of 288.

It can be observed that 288 × 3 = 864 and 288 × 4 = 1152.

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

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