Find the least common denominator for the given set of denominators.
-6, 8, 10, 12
A)90
B)120
C)60
D)108

Question

Quizplus · Accepted Answer

- 6 = 2 x 3
- 8 = 2 x 2 x 2
- 10 = 2 x 5
- 12 = 2 x 2 x 3
To find the LCD, we need to take the highest power of each prime factor that appears in any of the denominators. We have: 2³ x 3 x 5 = 120. Therefore, the answer is B. The least common multiple of 6, 8, 10, and 12 is 120, so B is the correct answer.

Find the Least Common Denominator for the Given Set of Denominators