Question

Which pairs of numbers have an LCM of 24?

Choose ALL that apply.

1. 3 and 8
2. 2 and 12
3. 6 and 4
4. 8 and 6
5. 4 and 12

A. Multiples of 3:3, 6, 9, 12, 15, 18, 21, 24
Multiples of 8: 8, 16, 24, 32, 40, 48,56

B. Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16
Multiples of 12:12, 24, 36, 48, 60, 72, 84

C.Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32

D. Multiples of 8: 8, 16, 24, 32, 40, 48, 56
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Answer 1

The pairs of numbers with an LCM of 24 are:

3 and 8

2 and 12

8 and 6

4 and 12

Option D is answer.

Step-by-step explanation:

Multiples of 3 and 8:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24

Multiples of 8: 8, 16, 24, 32, 40, 48, 56

LCM(3, 8) = 24, so option 1 is correct.

Multiples of 2 and 12:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16

Multiples of 12: 12, 24, 36, 48, 60, 72, 84

LCM(2, 12) = 12, so option 2 is not correct.

Multiples of 6 and 4:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32

LCM(6, 4) = 12, so option 3 is not correct.

Multiples of 8 and 6:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

LCM(8, 6) = 24, so option D is correct answer.