Find the difference between the smallest number of 5 digits and the greatest number of 4 digits which is exactly divisible by 7, 12, 15 and 16.
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Solution

Greatest no. of 4 digits = 9999
Smallest no. of 5 digits = 10000
L.C.M. of 7, 12, 15 and 16 = 1680
Greatest number of 4 digits exactly divisible by 7, 12, 15, 16 = 8400
Smallest number of 5 digits exactly divisible by 7, 12, 15, 16 = 10080
Difference = 1680

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