Question

a. find the multiples
find the least common multiple (lcm) for each pair of numbers. use the example to help you.

numbers	multiples of each number	least common multiple

| 4 and 6 | multiples of 4:
4, 8, 12, 16, 20, 24

multiples of 6:
6, 12, 18, 24, 30, 36 | 12 |

numbers	multiples of each number	least common multiple
2 and 3
5 and 10
3 and 5
6 and 8

Explanation:

Step1: List multiples of 2 and 3

Multiples of 2: $2, 4, 6, 8, 10$
Multiples of 3: $3, 6, 9, 12, 15$

Step2: Find shared smallest multiple

Shared multiple: $6$

Step3: List multiples of 5 and 10

Multiples of 5: $5, 10, 15, 20, 25$
Multiples of 10: $10, 20, 30, 40, 50$

Step4: Find shared smallest multiple

Shared multiple: $10$

Step5: List multiples of 3 and 5

Multiples of 3: $3, 6, 9, 12, 15$
Multiples of 5: $5, 10, 15, 20, 25$

Step6: Find shared smallest multiple

Shared multiple: $15$

Step7: List multiples of 6 and 8

Multiples of 6: $6, 12, 18, 24, 30$
Multiples of 8: $8, 16, 24, 32, 40$

Step8: Find shared smallest multiple

Shared multiple: $24$

Answer:

1. 2 and 3: LCM = $6$
2. 5 and 10: LCM = $10$
3. 3 and 5: LCM = $15$
4. 6 and 8: LCM = $24$