Find the smallest number that should be added to 166, so that the sum leaves a remainder of 3 on dividing by each of 4, 6, 9 and 15.
Given:
The smallest number which should be added to 166 the leaves a reminder 3 when divisible by 4, 6, 9 and 15.
Concept used:
Use the LCM(Least Common Multiple) method
Calculation:
According to the question,
LCM of (4 , 6, 9 and 15) = 180
Smallest number which divide by 4 , 6 , 9 and 15 leaves same remainder 3 = 180 + 3 = 183
Number which is added in 166 = 183 - 166 = 17
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