Question 5 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P
Maria found the least common multiple of 6 and 15. Her work is shown below. Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, . . .Multiples of 15: 15, 30, 45, 60, . . .The least common multiple is 60.What is Maria’s error?
Answer
A
Maria listed some values that were not multiples.
B
Maria listed factors of each number instead of multiples.
C
Maria should have multiplied 6 and 15 to find the least common multiple.
D
Maria selected a multiple that is not the least of the common multiples.
Explanation
A common multiple appears in both lists. The first one is 30: it is in the lists for both 6 and 15, and it is less than 60. Therefore, the least common multiple is 30, not 60. Maria selected a common multiple, but it was not the least one.
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