To find the Lowest Common Multiple (LCM) for each pair of numbers, we can list the multiples of each number until we find the smallest one they have in common.
1. Numbers: 4 and 22
- Multiples of 4: 4, 8, 12, 16, 20,
24,
28,
32,
36,
40,
44...
- Multiples of 22:
22,
44...
- The first match is 44.
2. Numbers: 6 and 24
- Multiples of 6: 6, 12, 18,
24...
- Multiples of 24:
24...
- Since 24 is a multiple of 6, the LCM is 24.
3. Numbers: 8 and 6
- Multiples of 8: 8, 16,
24...
- Multiples of 6: 6, 12, 18,
24...
- The first match is 24.
4. Numbers: 3 and 4
- Multiples of 3: 3, 6, 9, 12...
- Multiples of 4: 4, 8, 12...
- The first match is 12.
5. Numbers: 10 and 23
- Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230...
- Multiples of 23: 23, 46, 69, 92, 115, 138, 161, 184, 207, 230...
- The first match is 230.
6. Numbers: 2 and 4
- Multiples of 2: 2,
4...
- Multiples of 4:
4...
- The LCM is 4.
7. Numbers: 16 and 24
- Multiples of 16: 16, 32,
48...
- Multiples of 24: 24,
48...
- The first match is 48.
8. Numbers: 28 and 6
- Multiples of 28: 28, 56,
84...
- Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78,
84...
- The first match is 84.
9. Numbers: 10 and 19
- Multiples of 10: 10, 20, ..., 190...
- Multiples of 19: 19, 38, ..., 190...
- The first match is 190.
10. Numbers: 14 and 28
- Multiples of 14: 14,
28...
- Multiples of 28:
28...
- The LCM is 28.
11. Numbers: 7 and 3
- Multiples of 7: 7, 14,
21...
- Multiples of 3: 3, 6, 9, 12, 15, 18,
21...
- The first match is 21.
12. Numbers: 4 and 29
- Multiples of 4: 4, 8, ..., 116...
- Multiples of 29: 29, 58, 87, 116...
- The first match is 116.
13. Numbers: 19 and 9
- Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171...
- Multiples of 9: 9, 18, ..., 171...
- The first match is 171.
14. Numbers: 9 and 11
- Multiples of 9: 9, 18, ..., 99...
- Multiples of 11: 11, 22, ..., 99...
- The first match is 99.
Final Answer:
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
Parent Tip: Review the logic above to help your child master the concept of lowest common denominator worksheet 5th grade.