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MathsAges 13-15

Lowest common multiple (LCM)

Find the lowest common multiple (LCM) shared by two whole numbers. Review suitability for your learners before teaching.

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Age band:Ages 10-12Ages 13-15

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Worksheet StudioPractice pack · Ages 13-15

Lowest common multiple (LCM)

Take your time. Show your thinking.

  1. 1. What is the lowest common multiple (LCM) of 21 and 28?

    21 · 28 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 6 and 21?

    6 · 21 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 48 and 84?

    48 · 84 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 33 and 77?

    33 · 77 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 24 and 32?

    24 · 32 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 21 and 49?

    21 · 49 · Lowest common multiple (LCM)

  7. 7. What is the lowest common multiple (LCM) of 15 and 25?

    15 · 25 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 30 and 36?

    30 · 36 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 4 and 14?

    4 · 14 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 60 and 72?

    60 · 72 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 36 and 45?

    36 · 45 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 10 and 14?

    10 · 14 · Lowest common multiple (LCM)
12 questions · Seed 104739 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 13-15

Lowest common multiple (LCM)

Answers and reasoning. Review before teaching.

  1. 1. What is the lowest common multiple (LCM) of 21 and 28?

    84

    The highest common factor of 21 and 28 is 7, so LCM = (21 × 28) ÷ 7 = 84.

  2. 2. What is the lowest common multiple (LCM) of 6 and 21?

    42

    The highest common factor of 6 and 21 is 3, so LCM = (6 × 21) ÷ 3 = 42.

  3. 3. What is the lowest common multiple (LCM) of 48 and 84?

    336

    The highest common factor of 48 and 84 is 12, so LCM = (48 × 84) ÷ 12 = 336.

  4. 4. What is the lowest common multiple (LCM) of 33 and 77?

    231

    The highest common factor of 33 and 77 is 11, so LCM = (33 × 77) ÷ 11 = 231.

  5. 5. What is the lowest common multiple (LCM) of 24 and 32?

    96

    The highest common factor of 24 and 32 is 8, so LCM = (24 × 32) ÷ 8 = 96.

  6. 6. What is the lowest common multiple (LCM) of 21 and 49?

    147

    The highest common factor of 21 and 49 is 7, so LCM = (21 × 49) ÷ 7 = 147.

  7. 7. What is the lowest common multiple (LCM) of 15 and 25?

    75

    The highest common factor of 15 and 25 is 5, so LCM = (15 × 25) ÷ 5 = 75.

  8. 8. What is the lowest common multiple (LCM) of 30 and 36?

    180

    The highest common factor of 30 and 36 is 6, so LCM = (30 × 36) ÷ 6 = 180.

  9. 9. What is the lowest common multiple (LCM) of 4 and 14?

    28

    The highest common factor of 4 and 14 is 2, so LCM = (4 × 14) ÷ 2 = 28.

  10. 10. What is the lowest common multiple (LCM) of 60 and 72?

    360

    The highest common factor of 60 and 72 is 12, so LCM = (60 × 72) ÷ 12 = 360.

  11. 11. What is the lowest common multiple (LCM) of 36 and 45?

    180

    The highest common factor of 36 and 45 is 9, so LCM = (36 × 45) ÷ 9 = 180.

  12. 12. What is the lowest common multiple (LCM) of 10 and 14?

    70

    The highest common factor of 10 and 14 is 2, so LCM = (10 × 14) ÷ 2 = 70.

12 questions · Seed 104739 · Age guidance, not curriculum certification
Worksheet StudioPractice pack · Ages 13-15

Lowest common multiple (LCM)

Take your time. Show your thinking.

  1. 1. What is the lowest common multiple (LCM) of 21 and 28?

    21 · 28 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 6 and 21?

    6 · 21 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 48 and 84?

    48 · 84 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 33 and 77?

    33 · 77 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 24 and 32?

    24 · 32 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 21 and 49?

    21 · 49 · Lowest common multiple (LCM)

  7. 7. What is the lowest common multiple (LCM) of 15 and 25?

    15 · 25 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 30 and 36?

    30 · 36 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 4 and 14?

    4 · 14 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 60 and 72?

    60 · 72 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 36 and 45?

    36 · 45 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 10 and 14?

    10 · 14 · Lowest common multiple (LCM)
12 questions · Seed 104739 · Age guidance, not curriculum certification
Worksheet StudioAnswer key · Ages 13-15

Lowest common multiple (LCM)

Answers and reasoning. Review before teaching.

  1. 1. What is the lowest common multiple (LCM) of 21 and 28?

    84

    The highest common factor of 21 and 28 is 7, so LCM = (21 × 28) ÷ 7 = 84.

  2. 2. What is the lowest common multiple (LCM) of 6 and 21?

    42

    The highest common factor of 6 and 21 is 3, so LCM = (6 × 21) ÷ 3 = 42.

  3. 3. What is the lowest common multiple (LCM) of 48 and 84?

    336

    The highest common factor of 48 and 84 is 12, so LCM = (48 × 84) ÷ 12 = 336.

  4. 4. What is the lowest common multiple (LCM) of 33 and 77?

    231

    The highest common factor of 33 and 77 is 11, so LCM = (33 × 77) ÷ 11 = 231.

  5. 5. What is the lowest common multiple (LCM) of 24 and 32?

    96

    The highest common factor of 24 and 32 is 8, so LCM = (24 × 32) ÷ 8 = 96.

  6. 6. What is the lowest common multiple (LCM) of 21 and 49?

    147

    The highest common factor of 21 and 49 is 7, so LCM = (21 × 49) ÷ 7 = 147.

  7. 7. What is the lowest common multiple (LCM) of 15 and 25?

    75

    The highest common factor of 15 and 25 is 5, so LCM = (15 × 25) ÷ 5 = 75.

  8. 8. What is the lowest common multiple (LCM) of 30 and 36?

    180

    The highest common factor of 30 and 36 is 6, so LCM = (30 × 36) ÷ 6 = 180.

  9. 9. What is the lowest common multiple (LCM) of 4 and 14?

    28

    The highest common factor of 4 and 14 is 2, so LCM = (4 × 14) ÷ 2 = 28.

  10. 10. What is the lowest common multiple (LCM) of 60 and 72?

    360

    The highest common factor of 60 and 72 is 12, so LCM = (60 × 72) ÷ 12 = 360.

  11. 11. What is the lowest common multiple (LCM) of 36 and 45?

    180

    The highest common factor of 36 and 45 is 9, so LCM = (36 × 45) ÷ 9 = 180.

  12. 12. What is the lowest common multiple (LCM) of 10 and 14?

    70

    The highest common factor of 10 and 14 is 2, so LCM = (10 × 14) ÷ 2 = 70.

12 questions · Seed 104739 · Age guidance, not curriculum certification