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40 = 2x2x2x5

48 = 2x2x2x2x3

60 = 2x2x3x5

After taking out common factors, we have

L.C.M. = 2x2x2x3x5x2 = 240

To find the greatest 4 digit number which is divisible by 240 we divide 9999 by 240.

Remainder = 159

Subtracting this remainder from 9999 we get 9999 - 159 = 9840.

So, the required answer is 9840.

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Anonymous

4y ago

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