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Question

The smallest 4 digit number which is divisible by 18, 24 & 32 is


A

1172

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B

1122

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C

1152

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D

8640

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Solution

The correct option is C

1152


LCM of 18, 24 and 32

LCM of 18, 24 and 32 = 2 X 2 X 2 X 2 X 2 X 3 X 3 = 288
288 × 4 = 1152

288 × 3 = 864, which is a three digit number.

Hence, 1152 is the smallest 4 digit number divisible by 288.


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