Question

At her health club, Lauren uses a treadmill every 2 days and the weight machines every 8 days. She used a treadmill on March 2 and will use the weight machines on March 8. Lauren says that the first time she will use both a treadmill and the weight machines in March is March 16 because the LCM of 2 and 8 is 16.Does Lauren’s reasoning make sense? Use an example or a counter example to explain your analysis.

Answer 1

Answer: No, it does not.

Explanation:

2: 2, 4, 6, 8, 10, 12, 14, 16.. ect.

8: 8, 16.. ect

8 is the Least Common Multiple (LCM) not 16.

Answer 2

Yes

Explanation:

The Least common multiple (LCM) shows when the two over lap first.