Find the least number which when divided by 7 gives the
reminder 6, when divided by 6 gives reminder 5, when divided
by 5 gives reminder 4 and so on ?
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Answer Posted / ayusha
Formula to find is : LCM(7,6,5,4,3,2,1)*n + constant = number
Here constant is 7-6 = -1
6 -5 = -1 and so constant is -1
now LCM(7,6,5,4,3,2,1)*n - 1 = number
420n -1. For any value of n this will be true. Least vale of n is 1. So minimum number is 419
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