Question

find the smallest 4 digit number which divided by 18,24and 32.

Answer 1

Answer:

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1152

Answer 2

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LCM of 18, 24 and 32:

18 = 2x 3 x3

24 = 2x 2x 2x3

32 = 2x 2x2x2x2

LCM = 2 x 2x2x2 x2x3x3= 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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