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Question

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

(a) 1440
(b) 1660
(c) 2880
(d) None of these

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Solution

(a) 1,440
The least number divisible by 15, 20, 24, 32, and 36 can be found by taking their LCM as:

∴ LCM of 15, 20, 24, 32 and 36 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 = 1,440
Hence, 1,440 is the least number that is divisible by 15, 20, 24, 32 and 36.

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