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Question

Find the smallest number which, when divided by 12,15,18,24 and 36 leaves no remainder.

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Solution

Step: Find the smallest number

The smallest number which is exactly divisible by each given number is their L.C.M. (0.5 mark)
The smallest number is L.C.M. of 12,15,18,24 and 36.
(1 mark)
L.C.M.=2×2×2×3×3×5=360 (1 mark)
Hence, the smallest number is 360. (0.5 mark)

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