Find the least common multiple (LCM) of the numbers 12, 16, 14.
A) 168
B) 12
C) 2
D) 1
E) 336

Question

Find the least common multiple (LCM) of the numbers 12, 16, 14. ​
A) 168
B) 12
C) 2
D) 1
E) 336

Quizplus · Accepted Answer

To find the LCM of 12, 16, and 14, we need to factor each number into its prime factors:
12 = 2^2 * 3
16 = 2^4
14 = 2 * 7

Now, we first need to identify the highest power of each prime factor that occurs in any of the given numbers. In this case, the highest power of 2 is 2^4, the highest power of 3 is 3^1, and the highest power of 7 is 7^1.

Next, we multiply these highest powers of prime factors:
2^4 * 3^1 * 7^1 = 336

Therefore, the least common multiple of 12, 16, and 14 is 336, which is option E.

Find the Least Common Multiple (LCM) of the Numbers 12