find the least number which when divided by 18,12and24, leaves remainder of 15,9and 21 respectively
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If n is any integer that leaves a remainder 16 , 10 , 22 when divided by 18 , 12 , 24 respectively, then n+2 is a common multiple of 18 , 12 , 24 . This is the same as saying n+2 is a multiple of lcm(12,18,24)=72 . The least positive integer with this property is n=70 .
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