Question 114

What is the least number which, when divided by 5, 6, 7, 8 gives the remainder 3 but is divisible by 9 ?

Solution

we need to find least number which, when divided by 5, 6, 7, 8 gives the remainder 3 but is divisible by 9

let the number be N

N = LCM(5,6,7,8)k + 3

N = 840k + 3

at k = 2

N = 1683 hence 1683 is the smallest number which can be divided by 5 , 6,7,8 and will leave remainder 3 and is also divisible by 9

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