Find the least common multiple (LCM)of the list of numbers.
-60, 40, 70
A)280
B)840
C)420
D)120

Question

Quizplus · Accepted Answer

To find the LCM of 60, 40, and 70, first we factor each number into its prime factors:
60 = 2^2 x 3 x 5
40 = 2^3 x 5
70 = 2 x 5 x 7
Then, we can find the LCM by taking the highest power of each prime factor that appears in any of the numbers:
2^3 x 3 x 5 x 7 = 840
Therefore, the LCM of 60, 40, and 70 is 840, which is answer choice B. To find the LCM, we need to prime factorize each number: 
60 = 2^2 x 3 x 5
40 = 2^3 x 5
70 = 2 x 5 x 7
Then we take the highest power of each prime factor: 
2^3 x 3 x 5 x 7 = 840
Therefore, the LCM is 840, which is answer choice B.

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