Let’s solve each problem step by step. We’re finding the
Least Common Multiple (LCM) for each pair of numbers.
The LCM is the smallest number that both numbers can divide into evenly.
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Problem 4: 2 and 5
Multiples of 2:
2, 4, 6, 8,
10, 12, 14...
Multiples of 5:
5,
10, 15, 20...
First common multiple =
10
→ LCM =
10
---
Problem 5: 6 and 8
Multiples of 6:
6, 12, 18,
24, 30...
Multiples of 8:
8, 16,
24, 32...
First common multiple =
24
→ LCM =
24
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Problem 6: 4 and 7
Multiples of 4:
4, 8, 12, 16, 20, 24,
28, 32...
Multiples of 7:
7, 14, 21,
28, 35...
First common multiple =
28
→ LCM =
28
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Problem 7: 2 and 9
Multiples of 2:
2, 4, 6, 8, 10, 12, 14, 16,
18, 20...
Multiples of 9:
9,
18, 27, 36...
First common multiple =
18
→ LCM =
18
---
Problem 8: 10 and 12
Multiples of 10:
10, 20, 30, 40, 50,
60, 70...
Multiples of 12:
12, 24, 36, 48,
60, 72...
First common multiple =
60
→ LCM =
60
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Problem 9: 8 and 14
Multiples of 8:
8, 16, 24, 32, 40, 48, 56, 64...
Multiples of 14:
14, 28, 42,
56, 70...
First common multiple =
56
→ LCM =
56
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Final Answer:
4) LCM = 10
5) LCM = 24
6) LCM = 28
7) LCM = 18
8) LCM = 60
9) LCM = 56
Parent Tip: Review the logic above to help your child master the concept of lcm worksheet 5th grade.
