Find the least common multiple (LCM)of the list of numbers.
-7, 14, 21, 36
A)280
B)112
C)252
D)259

Question

Quizplus · Accepted Answer

The prime factorization of each number is:
7 = 7
14 = 2 * 7
21 = 3 * 7
36 = 2^2 * 3^2
To find the LCM, we need to take the highest power of each prime factor that appears in any of the numbers. So, the LCM is:
2^2 * 3^2 * 7 = 252
Therefore, the best choice is C. The prime factorization of the given numbers are:
7 = 7
14 = 2 x 7
21 = 3 x 7
36 = 2 x 2 x 3 x 3
To find the LCM, we need to take the highest power of each prime factor:
- 2 has highest power of 2 x 2
- 3 has highest power of 3 x 3
- 7 has highest power of 7
LCM = 2 x 2 x 3 x 3 x 7 = 252. 
Therefore, the best choice is C (252).

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