Problema Solution

what is the least number that when divided by either 3, 4, 6, or 9 has a remainder of 2?

Answer provided by our tutors

The Least Common Measure for 3, 4, 6 and 9 is 36:

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click here to see the calculation of LCM(3, 4, 6, 9)

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LCM(3, 4, 6, 9) = 36

Since the reminder is 2 the number is: 36 + 2 = 38

Indeed:

38 = 12*3 + 2

38 = 9*4 + 2

38 = 6*6 + 2

38 = 4*9 + 2

The number of 38.