Find the least common multiple (LCM)of the list of numbers.
-Find the LCM of 20 and 6.
A)240
B)2
C)60
D)120

Question

Quizplus · Accepted Answer

To find the LCM of two numbers, we need to find the smallest number that both 20 and 6 divide into evenly. We can start by listing the multiples of 20: 20, 40, 60, 80, 100, 120, ...and the multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ... We can see that the smallest number that both lists have in common is 60. Therefore, the LCM of 20 and 6 is 60. To find the LCM of 20 and 6, we need to find the smallest number that is a multiple of both 20 and 6. We can list the multiples of 20 and 6 and find the smallest one that they have in common:
Multiples of 20: 20, 40, 60, 80, 100, 120, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
The smallest multiple that they have in common is 60, so the LCM of 20 and 6 is 60. Therefore, the best choice is C.

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