Let’s solve each part step by step.
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First, find the LCM of 2, 5, and 10.
We list multiples:
- Multiples of 2: 2, 4, 6, 8,
10, 12, 14, 16, 18,
20, ...
- Multiples of 5: 5,
10, 15,
20, 25, ...
- Multiples of 10:
10,
20, 30, ...
Common multiples (numbers that appear in all three lists):
10, 20, 30...
The smallest one is
10.
✔ So, LCM of 2, 5, and 10 =
10
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Now, let’s do the “Find the LCM” section:
a. 2, 6 and 8
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22,
24, ...
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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b. 5, 6 and 15
Multiples of 5: 5, 10, 15, 20, 25,
30, 35, ...
Multiples of 6: 6, 12, 18, 24,
30, 36, ...
Multiples of 15: 15,
30, 45, ...
→ First common multiple:
30
✔ LCM =
30
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c. 2, 3 and 9
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16,
18, ...
Multiples of 3: 3, 6, 9, 12, 15,
18, ...
Multiples of 9: 9,
18, 27, ...
→ First common multiple:
18
✔ LCM =
18
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d. 4, 5 and 8
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36,
40, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, 35,
40, ...
Multiples of 8: 8, 16, 24, 32,
40, ...
→ First common multiple:
40
✔ LCM =
40
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e. 6, 12 and 24
Notice: 24 is a multiple of both 6 and 12.
Check:
- 6 × 4 = 24
- 12 × 2 = 24
- 24 × 1 = 24
So 24 is already a common multiple — and it’s the smallest.
✔ LCM =
24
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f. 1, 2 and 3
Multiples of 1: everything → 1, 2, 3, 4, 5,
6, ...
Multiples of 2: 2, 4,
6, ...
Multiples of 3: 3,
6, ...
→ First common multiple:
6
✔ LCM =
6
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Final Answer:
LCM of 2, 5, and 10 =
10
a. LCM =
24
b. LCM =
30
c. LCM =
18
d. LCM =
40
e. LCM =
24
f. LCM =
6
Parent Tip: Review the logic above to help your child master the concept of find the lcm worksheet.
