Let’s solve each pair step by step.
We need to find:
-
LCM (Least Common Multiple): The smallest number that both numbers divide into evenly.
-
GCF (Greatest Common Factor): The largest number that divides both numbers evenly.
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1. 16 and 10
Factors of 16: 1, 2, 4, 8, 16
Factors of 10: 1, 2, 5, 10
→ GCF = 2
Multiples of 16: 16, 32, 48, 64, 80, ...
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, ...
→ LCM = 80
---
2. 14 and 6
Factors of 14: 1, 2, 7, 14
Factors of 6: 1, 2, 3, 6
→ GCF = 2
Multiples of 14: 14, 28, 42, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
→ LCM = 42
---
3. 3 and 27
Factors of 3: 1, 3
Factors of 27: 1, 3, 9, 27
→ GCF = 3
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, ...
Multiples of 27: 27, 54, ...
→ LCM = 27 (since 27 is a multiple of 3)
---
4. 6 and 14
Same as #2 — just reversed order.
→ GCF = 2
→ LCM = 42
---
5. 16 and 5
Factors of 16: 1, 2, 4, 8, 16
Factors of 5: 1, 5
→ GCF = 1 (they share no common factors except 1)
Multiples of 16: 16, 32, 48, 64, 80, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, ...
→ LCM = 80
---
6. 8 and 12
Factors of 8: 1, 2, 4, 8
Factors of 12: 1, 2, 3, 4, 6, 12
→ GCF = 4
Multiples of 8: 8, 16, 24, 32, ...
Multiples of 12: 12, 24, 36, ...
→ LCM = 24
---
7. 16 and 6
Factors of 16: 1, 2, 4, 8, 16
Factors of 6: 1, 2, 3, 6
→ GCF = 2
Multiples of 16: 16, 32, 48, 64, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, ...
→ LCM = 48
---
8. 8 and 3
Factors of 8: 1, 2, 4, 8
Factors of 3: 1, 3
→ GCF = 1
Multiples of 8: 8, 16, 24, 32, ...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ...
→ LCM = 24
---
Final Answer:
16, 10 → LCM: 80, GCF: 2
14, 6 → LCM: 42, GCF: 2
3, 27 → LCM: 27, GCF: 3
6, 14 → LCM: 42, GCF: 2
16, 5 → LCM: 80, GCF: 1
8, 12 → LCM: 24, GCF: 4
16, 6 → LCM: 48, GCF: 2
8, 3 → LCM: 24, GCF: 1
Parent Tip: Review the logic above to help your child master the concept of gcf lcm worksheet.
