Grade 5 Factoring Worksheet: Find the Lowest Common Multiple (LCM)

I'll solve the problems on this Grade 5 Factoring Worksheet to find the lowest common multiple (LCM) for each pair of numbers.

Let me work through each problem systematically:

1. LCM of 4 and 22
- Prime factors: 4 = 2², 22 = 2 × 11
- LCM = 2² × 11 = 44

2. LCM of 6 and 24
- Since 24 is a multiple of 6, LCM = 24

3. LCM of 8 and 6
- Prime factors: 8 = 2³, 6 = 2 × 3
- LCM = 2³ × 3 = 24

4. LCM of 3 and 4
- Prime factors: 3 = 3, 4 = 2²
- LCM = 2² × 3 = 12

5. LCM of 10 and 23
- Prime factors: 10 = 2 × 5, 23 = 23 (prime)
- LCM = 2 × 5 × 23 = 230

6. LCM of 2 and 4
- Since 4 is a multiple of 2, LCM = 4

7. LCM of 16 and 24
- Prime factors: 16 = 2⁴, 24 = 2³ × 3
- LCM = 2⁴ × 3 = 48

8. LCM of 28 and 6
- Prime factors: 28 = 2² × 7, 6 = 2 × 3
- LCM = 2² × 3 × 7 = 84

9. LCM of 10 and 19
- Prime factors: 10 = 2 × 5, 19 = 19 (prime)
- LCM = 2 × 5 × 19 = 190

10. LCM of 14 and 28
- Since 28 is a multiple of 14, LCM = 28

11. LCM of 7 and 3
- Both are prime numbers
- LCM = 7 × 3 = 21

12. LCM of 4 and 29
- Prime factors: 4 = 2², 29 = 29 (prime)
- LCM = 2² × 29 = 116

13. LCM of 19 and 9
- Prime factors: 19 = 19 (prime), 9 = 3²
- LCM = 3² × 19 = 171

14. LCM of 9 and 11
- Prime factors: 9 = 3², 11 = 11 (prime)
- LCM = 3² × 11 = 99

The answers for the worksheet are:
1. 44
2. 24
3. 24
4. 12
5. 230
6. 4
7. 48
8. 84
9. 190
10. 28
11. 21
12. 116
13. 171
14. 99