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Question

Find the least number divisible by 15, 20, 24, 32 and 36.

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Solution

The given numbers are 15, 20, 24, 32 and 36.

The smallest number divisible by the numbers given above will be their LCM.

215,20,24,32,36315,10,12,16,18 55,10,4,16,6 21,2,4,16,6 21,1,2,8,3 21,1,1,4,3 21,1,1,2,3 31,1,1,1,3 1,1,1,1,1

LCM = 25 × 32 × 5
= 1440

∴ The least number divisible by 15, 20, 24, 32 and 36 is 1440.


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