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Find the smallest 4digit number which …

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Find the smallest 4digit number which is divisible by 18.24..24
  • 1 answers

Yogita Ingle 6 years, 2 months ago

LCM of 18, 24 and 32:

18 = 2 x 3 x 3

24 = 2 x 2 x 2 x 3

32 = 2 x 2 x 2 x 2 x 2

LCM = 2 x 2 x 2 x 2 x 2 x 3 x 3 = 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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