Find the LCM by factoring.
-24, 54, 27
A)108
B)54
C)72
D)216

Name: Find the LCM by factoring. -24, 54, 27 A)108 B)54 C)72 D)216
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Question

Quizplus · Accepted Answer

24 = 2^3 * 3
54 = 2 * 3^3
27 = 3^3
The LCM will have the highest power of each prime factor that appears in the three numbers: 
2^3 * 3^3 = 216. 
Therefore, the answer is D, 216. 24 = 2^3 * 3
54 = 2 * 3^3
27 = 3^3

The LCM is found by taking the highest power of each factor that appears:
2^3 * 3^3 = 216

Therefore, the answer is D.

Find the LCM by Factoring