which of the following pairs of numbers have a least common multiple of 24 select all that apply

Answer 1

Hi Maya,

Take the set of two numbers and list their multiples. I am going to list the multiples of 2, 3, 4,6, 8:

2: 2,4,6,8,10,12,14,16,18, 20

3: 3,6,9,12,15,18,21,24,27,30

4: 4,8,12,16,20,24,28,32,36,40

6: 6,12,18,24,30,36,42,48,54,60

8: 8,16,24,32,40,48,56,64,72,80

LCM of two numbers is the smallest number that appears in both the lists.

If you have to find LCM (2,3) - the answer is 6, because it appears in both lists and is the smallest number. You will see that 12, 18 also appear in both lists they are common multiples but they are not the lowest. So LCM of 2,3 =6

LCM (4,6) =12

LCM(3,8)=24

LCM(6,8)=24

Hope this helps!

Answer 2

The LCM is just that. List the multiples of both numbers and find the LCM.

2,4,6,8,10,12

3,6,9,12

The LCM of 2 and 3 is 12.