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Let N be the smallest number that is a common multiple of 3, 4 and 5.
How many factors does N have?

Class 6Factors and MultiplesPlaying with Numbers

A12
B11
C24
D13

Step-by-Step Solution

LCM(3,4,5) =

60 = 2 x 2 x 3 x 5

. The number of factors =

(2 + 1) (1 + 1) (1 + 1) = 3 \times 2 \times 2 = 12

. So 60 has 12 factors.

Answer: A) 12

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