LCM and GCF Worksheets (printable, online, answers, examples) - Free Printable

Let’s solve each pair of numbers to find their LCM (Least Common Multiple) and GCF (Greatest Common Factor).

We’ll go one by one, carefully.

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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 (biggest number that divides both)

Multiples of 16: 16, 32, 48, 64, 80...
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80...
→ LCM = 80 (smallest multiple they share)

✔ LCM = 80, GCF = 2

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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

✔ LCM = 42, GCF = 2

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3. 3 and 27

- Factors of 3: 1, 3
- Factors of 27: 1, 3, 9, 27
→ GCF = 3

Since 27 is a multiple of 3 → LCM = 27

✔ LCM = 27, GCF = 3

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4. 6 and 14

Same as #2 — just reversed order.

→ GCF = 2
→ LCM = 42

✔ LCM = 42, GCF = 2

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5. 16 and 5

- Factors of 16: 1, 2, 4, 8, 16
- Factors of 5: 1, 5
→ GCF = 1 (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

✔ LCM = 80, GCF = 1

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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...
Multiples of 12: 12, 24...
→ LCM = 24

✔ LCM = 24, GCF = 4

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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...
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48...
→ LCM = 48

✔ LCM = 48, GCF = 2

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8. 8 and 3

- Factors of 8: 1, 2, 4, 8
- Factors of 3: 1, 3
→ GCF = 1

Multiples of 8: 8, 16, 24...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24...
→ LCM = 24

✔ LCM = 24, GCF = 1

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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