Understanding LCM

  • 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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Quizzes Created: 8156 | Total Attempts: 9,588,805
| Attempts: 16 | Questions: 20 | Updated: Jan 19, 2026
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1) What is the LCM of 3 and 5?

Explanation

Smallest common multiple: 3’s multiples (3,6,9,12,15), 5’s (5,10,15).

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About This Quiz
Understanding LCM - Quiz

What happens when two numbers “line up” at the same multiple? That’s where the Least Common Multiple (LCM) comes in! In this quiz, you’ll practice finding the LCM of pairs of numbers using factors and multiples. Take this quiz to sharpen your skills and see how the LCM helps solve... see moremath problems with common cycles.
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2) What is the LCM of 2 and 9?

Explanation

2 is prime to 9 → 2×9 = 18.

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3) What is the LCM of 7 and 3?

Explanation

Coprime → 7×3 = 21.

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4) What is the LCM of 5 and 10?

Explanation

10 already a multiple of 5 → 10.

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5) What is the LCM of 9 and 6?

Explanation

9 = 3², 6 = 2·3 → 2·3² = 18.

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6) What is the LCM of 12 and 16?

Explanation

12 = 2²·3, 16 = 2⁴ → 2⁴·3 = 48.

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7) What is the LCM of 2 and 7?

Explanation

Coprime → 2×7 = 14.

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8) What is the LCM of 9 and 12?

Explanation

9 = 3², 12 = 2²·3 → 2²·3² = 36.

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9) What is the LCM of 11 and 3?

Explanation

Coprime → 11×3 = 33.

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10) What is the LCM of 10 and 15?

Explanation

10 = 2·5, 15 = 3·5 → 2·3·5 = 30.

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11) What is the LCM of 6 and 15?

Explanation

6 = 2·3, 15 = 3·5 → 2·3·5 = 30.

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12) What is the LCM of 8 and 14?

Explanation

8 = 2³, 14 = 2·7 → 2³·7 = 56.

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13) What is the LCM of 13 and 5?

Explanation

Coprime → 13×5 = 65.

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14) What is the LCM of 4 and 18?

Explanation

4 = 2², 18 = 2·3² → 2²·3² = 36.

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15) What is the LCM of 15 and 20?

Explanation

15 = 3·5, 20 = 2²·5 → 2²·3·5 = 60.

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16) What is the LCM of 16 and 24?

Explanation

16 = 2⁴, 24 = 2³·3 → 2⁴·3 = 48.

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17) What is the LCM of 7 and 11?

Explanation

Coprime → 7×11 = 77.

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18) What is the LCM of 4 and 6?

Explanation

Multiples: 4→4,8,12… ; 6→6,12…

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19) What is the LCM of 4 and 10?

Explanation

4 = 2², 10 = 2·5 → 2²·5 = 20.

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20) What is the LCM of 8 and 12?

Explanation

Prime factors: 8 = 2³, 12 = 2²·3 → 2³·3 = 24.

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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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What is the LCM of 3 and 5?
What is the LCM of 2 and 9?
What is the LCM of 7 and 3?
What is the LCM of 5 and 10?
What is the LCM of 9 and 6?
What is the LCM of 12 and 16?
What is the LCM of 2 and 7?
What is the LCM of 9 and 12?
What is the LCM of 11 and 3?
What is the LCM of 10 and 15?
What is the LCM of 6 and 15?
What is the LCM of 8 and 14?
What is the LCM of 13 and 5?
What is the LCM of 4 and 18?
What is the LCM of 15 and 20?
What is the LCM of 16 and 24?
What is the LCM of 7 and 11?
What is the LCM of 4 and 6?
What is the LCM of 4 and 10?
What is the LCM of 8 and 12?
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