Mixed LCM Challenges

  • 6th Grade
Reviewed by Cierra Henderson
Cierra Henderson, MBA |
K-12 Expert
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Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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| Attempts: 21 | Questions: 20 | Updated: Jan 19, 2026
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1) LCM of 3 and 4 is:

Explanation

3 and 4 have no common factors besides 1, so we multiply: 3 × 4 = 12.

That’s the first number both divide evenly into.

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About This Quiz
Mixed LCM Challenges - Quiz

Ready to level up? This quiz mixes basic LCM practice, applications, and trickier problems into one set. You’ll use what you’ve learned to solve both straightforward and challenging questions. In this quiz, you’ll test your knowledge and see how confidently you can work with the Least Common Multiple.

2) LCM of 11 and 6 is:

Explanation

11 is prime, 6 = 2 × 3. Combine all factors: 2 × 3 × 11 = 66.

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3) LCM of 7 and 9 is:

Explanation

No common factors again—7 × 9 = 63.

So 63 is the least number both 7 and 9 go into exactly.

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4) LCM of 60 and 90 is:

Explanation

60 = 2² × 3 × 5, 90 = 2 × 3² × 5 → 2² × 3² × 5 = 180.

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5) LCM of 21 and 35 is:

Explanation

21 = 3 × 7, 35 = 5 × 7. Include 3, 5, and 7 → 105.

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6) LCM of 12 and 15 is:

Explanation

12 = 2² × 3, 15 = 3 × 5 → 2² × 3 × 5 = 60.

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7) LCM of 24 and 40 is:

Explanation

24 = 2³ × 3, 40 = 2³ × 5 → 2³ × 3 × 5 = 120.

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8) LCM of 50 and 75 is:

Explanation

50 = 2 × 5², 75 = 3 × 5². Combine 2 × 3 × 5² = 150.

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9) LCM of 9 and 25 is:

Explanation

9 = 3² and 25 = 5². They share no factors, so 3² × 5² = 225.

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10) LCM of 18 and 30 is:

Explanation

18 = 2 × 3², 30 = 2 × 3 × 5 → 2 × 3² × 5 = 90.

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11) LCM of 25 and 40 is:

Explanation

25 = 5², 40 = 2³ × 5 → 2³ × 5² = 200.

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12) LCM of 20 and 28 is:

Explanation

20 = 2² × 5, 28 = 2² × 7. Keep 2² and include 5 and 7: 2² × 5 × 7 = 140.

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13) LCM of 16 and 18 is:

Explanation

16 = 2⁴, 18 = 2 × 3². Use 2⁴ and 3²: 16 × 9 = 144.

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14) LCM of 45 and 60 is:

Explanation

45 = 3² × 5, 60 = 2² × 3 × 5 → 2² × 3² × 5 = 180.

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15) LCM of 36 and 54 is:

Explanation

36 = 2² × 3², 54 = 2 × 3³ → 2² × 3³ = 108.

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16) LCM of 32 and 48 is:

Explanation

32 = 2⁵, 48 = 2⁴ × 3. Use 2⁵ × 3 = 96.

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17) LCM of 22 and 44 is:

Explanation

Because 44 is already a multiple of 22, the LCM is 44.

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18) LCM of 13 and 8 is:

Explanation

13 is prime, 8 = 2³. Multiply 13 × 8 = 104.

So both meet again at 104.

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19) LCM of 14 and 18 is:

Explanation

14 = 2 × 7, 18 = 2 × 3². Use 2, 3², and 7 → 2 × 9 × 7 = 126.

Submit

20) LCM of 28 and 36 is:

Explanation

28 = 2² × 7, 36 = 2² × 3². Keep 2² × 3² × 7 = 252.

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Cierra Henderson |MBA |
K-12 Expert
Cierra is an educational consultant and curriculum developer who has worked with students in K-12 for a variety of subjects including English and Math as well as test prep. She specializes in one-on-one support for students especially those with learning differences. She holds an MBA from the University of Massachusetts Amherst and a certificate in educational consulting from UC Irvine.
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LCM of 3 and 4 is:
LCM of 11 and 6 is:
LCM of 7 and 9 is:
LCM of 60 and 90 is:
LCM of 21 and 35 is:
LCM of 12 and 15 is:
LCM of 24 and 40 is:
LCM of 50 and 75 is:
LCM of 9 and 25 is:
LCM of 18 and 30 is:
LCM of 25 and 40 is:
LCM of 20 and 28 is:
LCM of 16 and 18 is:
LCM of 45 and 60 is:
LCM of 36 and 54 is:
LCM of 32 and 48 is:
LCM of 22 and 44 is:
LCM of 13 and 8 is:
LCM of 14 and 18 is:
LCM of 28 and 36 is:
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