Question
The largest number of four digits that is exactly
divisible by 17 and 36 is:Solution
L.C.M. of 17 and 36 is 612. The largest four-digit number is 9999. To find the largest four-digit number divisible by 17 and 36 we must divide the 9999 by 612 and subtract the remainder from 9999. When we divide the 9999 by 612, we get the remainder 207. Required number = 9999-207 = 9792
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