Find the least common multiple of 12, 24, and 30.
A)12
B)120
C)6
D)24

Question

Quizplus · Accepted Answer

The prime factorization of 12 is 2^2 * 3^1. 
The prime factorization of 24 is 2^3 * 3^1. 
The prime factorization of 30 is 2^1 * 3^1 * 5^1. 
To find the LCM, we need to take the highest power of each prime factor: 
- 2^3 
- 3^1 
- 5^1 
Multiplying these together gives us 2^3 * 3^1 * 5^1 = 120. Therefore, the least common multiple of 12, 24, and 30 is 120, which is choice B.

Find the Least Common Multiple of 12, 24, and 30