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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 6 and 14?

    6 · 14 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 22 and 77?

    22 · 77 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 14 and 21?

    14 · 21 · Lowest common multiple (LCM)

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

    24 · 32 · Lowest common multiple (LCM)

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

    10 · 14 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 30 and 40?

    30 · 40 · Lowest common multiple (LCM)

  7. 7. What is the lowest common multiple (LCM) of 20 and 25?

    20 · 25 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 20 and 70?

    20 · 70 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 9 and 15?

    9 · 15 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 14 and 35?

    14 · 35 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 24 and 60?

    24 · 60 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 30 and 50?

    30 · 50 · Lowest common multiple (LCM)
12 questions · Seed 58 · 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 6 and 14?

    42

    The highest common factor of 6 and 14 is 2, so LCM = (6 × 14) ÷ 2 = 42.

  2. 2. What is the lowest common multiple (LCM) of 22 and 77?

    154

    The highest common factor of 22 and 77 is 11, so LCM = (22 × 77) ÷ 11 = 154.

  3. 3. What is the lowest common multiple (LCM) of 14 and 21?

    42

    The highest common factor of 14 and 21 is 7, so LCM = (14 × 21) ÷ 7 = 42.

  4. 4. 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.

  5. 5. 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.

  6. 6. What is the lowest common multiple (LCM) of 30 and 40?

    120

    The highest common factor of 30 and 40 is 10, so LCM = (30 × 40) ÷ 10 = 120.

  7. 7. What is the lowest common multiple (LCM) of 20 and 25?

    100

    The highest common factor of 20 and 25 is 5, so LCM = (20 × 25) ÷ 5 = 100.

  8. 8. What is the lowest common multiple (LCM) of 20 and 70?

    140

    The highest common factor of 20 and 70 is 10, so LCM = (20 × 70) ÷ 10 = 140.

  9. 9. What is the lowest common multiple (LCM) of 9 and 15?

    45

    The highest common factor of 9 and 15 is 3, so LCM = (9 × 15) ÷ 3 = 45.

  10. 10. What is the lowest common multiple (LCM) of 14 and 35?

    70

    The highest common factor of 14 and 35 is 7, so LCM = (14 × 35) ÷ 7 = 70.

  11. 11. What is the lowest common multiple (LCM) of 24 and 60?

    120

    The highest common factor of 24 and 60 is 12, so LCM = (24 × 60) ÷ 12 = 120.

  12. 12. What is the lowest common multiple (LCM) of 30 and 50?

    150

    The highest common factor of 30 and 50 is 10, so LCM = (30 × 50) ÷ 10 = 150.

12 questions · Seed 58 · 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 6 and 14?

    6 · 14 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 22 and 77?

    22 · 77 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 14 and 21?

    14 · 21 · Lowest common multiple (LCM)

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

    24 · 32 · Lowest common multiple (LCM)

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

    10 · 14 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 30 and 40?

    30 · 40 · Lowest common multiple (LCM)

  7. 7. What is the lowest common multiple (LCM) of 20 and 25?

    20 · 25 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 20 and 70?

    20 · 70 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 9 and 15?

    9 · 15 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 14 and 35?

    14 · 35 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 24 and 60?

    24 · 60 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 30 and 50?

    30 · 50 · Lowest common multiple (LCM)
12 questions · Seed 58 · 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 6 and 14?

    42

    The highest common factor of 6 and 14 is 2, so LCM = (6 × 14) ÷ 2 = 42.

  2. 2. What is the lowest common multiple (LCM) of 22 and 77?

    154

    The highest common factor of 22 and 77 is 11, so LCM = (22 × 77) ÷ 11 = 154.

  3. 3. What is the lowest common multiple (LCM) of 14 and 21?

    42

    The highest common factor of 14 and 21 is 7, so LCM = (14 × 21) ÷ 7 = 42.

  4. 4. 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.

  5. 5. 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.

  6. 6. What is the lowest common multiple (LCM) of 30 and 40?

    120

    The highest common factor of 30 and 40 is 10, so LCM = (30 × 40) ÷ 10 = 120.

  7. 7. What is the lowest common multiple (LCM) of 20 and 25?

    100

    The highest common factor of 20 and 25 is 5, so LCM = (20 × 25) ÷ 5 = 100.

  8. 8. What is the lowest common multiple (LCM) of 20 and 70?

    140

    The highest common factor of 20 and 70 is 10, so LCM = (20 × 70) ÷ 10 = 140.

  9. 9. What is the lowest common multiple (LCM) of 9 and 15?

    45

    The highest common factor of 9 and 15 is 3, so LCM = (9 × 15) ÷ 3 = 45.

  10. 10. What is the lowest common multiple (LCM) of 14 and 35?

    70

    The highest common factor of 14 and 35 is 7, so LCM = (14 × 35) ÷ 7 = 70.

  11. 11. What is the lowest common multiple (LCM) of 24 and 60?

    120

    The highest common factor of 24 and 60 is 12, so LCM = (24 × 60) ÷ 12 = 120.

  12. 12. What is the lowest common multiple (LCM) of 30 and 50?

    150

    The highest common factor of 30 and 50 is 10, so LCM = (30 × 50) ÷ 10 = 150.

12 questions · Seed 58 · Age guidance, not curriculum certification