Question

Find least common four digit number which is divisible by 18,24,32

Answer 1

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Answer: 1152 is the least four digit number divisible by 18, 24 and 32.

Step-by-step explanation:

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 least four digit number that is divisible by 288:

288 x 3 = 864

288 x 4 = 1152

Therefore, 1152 is the least four digit number divisible by 18, 24 and 32.

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