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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 40 and 56?

    40 · 56 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 6 and 14?

    6 · 14 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 4 and 6?

    4 · 6 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 32 and 56?

    32 · 56 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 35 and 42?

    35 · 42 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 9 and 12?

    9 · 12 · Lowest common multiple (LCM)

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

    9 · 15 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 35 and 49?

    35 · 49 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 27 and 45?

    27 · 45 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 6 and 15?

    6 · 15 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 6 and 8?

    6 · 8 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 15 and 35?

    15 · 35 · Lowest common multiple (LCM)
12 questions · Seed 104741 · 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 40 and 56?

    280

    The highest common factor of 40 and 56 is 8, so LCM = (40 × 56) ÷ 8 = 280.

  2. 2. 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.

  3. 3. What is the lowest common multiple (LCM) of 4 and 6?

    12

    The highest common factor of 4 and 6 is 2, so LCM = (4 × 6) ÷ 2 = 12.

  4. 4. What is the lowest common multiple (LCM) of 32 and 56?

    224

    The highest common factor of 32 and 56 is 8, so LCM = (32 × 56) ÷ 8 = 224.

  5. 5. What is the lowest common multiple (LCM) of 35 and 42?

    210

    The highest common factor of 35 and 42 is 7, so LCM = (35 × 42) ÷ 7 = 210.

  6. 6. What is the lowest common multiple (LCM) of 9 and 12?

    36

    The highest common factor of 9 and 12 is 3, so LCM = (9 × 12) ÷ 3 = 36.

  7. 7. 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.

  8. 8. What is the lowest common multiple (LCM) of 35 and 49?

    245

    The highest common factor of 35 and 49 is 7, so LCM = (35 × 49) ÷ 7 = 245.

  9. 9. What is the lowest common multiple (LCM) of 27 and 45?

    135

    The highest common factor of 27 and 45 is 9, so LCM = (27 × 45) ÷ 9 = 135.

  10. 10. What is the lowest common multiple (LCM) of 6 and 15?

    30

    The highest common factor of 6 and 15 is 3, so LCM = (6 × 15) ÷ 3 = 30.

  11. 11. What is the lowest common multiple (LCM) of 6 and 8?

    24

    The highest common factor of 6 and 8 is 2, so LCM = (6 × 8) ÷ 2 = 24.

  12. 12. What is the lowest common multiple (LCM) of 15 and 35?

    105

    The highest common factor of 15 and 35 is 5, so LCM = (15 × 35) ÷ 5 = 105.

12 questions · Seed 104741 · 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 40 and 56?

    40 · 56 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 6 and 14?

    6 · 14 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 4 and 6?

    4 · 6 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 32 and 56?

    32 · 56 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 35 and 42?

    35 · 42 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 9 and 12?

    9 · 12 · Lowest common multiple (LCM)

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

    9 · 15 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 35 and 49?

    35 · 49 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 27 and 45?

    27 · 45 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 6 and 15?

    6 · 15 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 6 and 8?

    6 · 8 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 15 and 35?

    15 · 35 · Lowest common multiple (LCM)
12 questions · Seed 104741 · 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 40 and 56?

    280

    The highest common factor of 40 and 56 is 8, so LCM = (40 × 56) ÷ 8 = 280.

  2. 2. 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.

  3. 3. What is the lowest common multiple (LCM) of 4 and 6?

    12

    The highest common factor of 4 and 6 is 2, so LCM = (4 × 6) ÷ 2 = 12.

  4. 4. What is the lowest common multiple (LCM) of 32 and 56?

    224

    The highest common factor of 32 and 56 is 8, so LCM = (32 × 56) ÷ 8 = 224.

  5. 5. What is the lowest common multiple (LCM) of 35 and 42?

    210

    The highest common factor of 35 and 42 is 7, so LCM = (35 × 42) ÷ 7 = 210.

  6. 6. What is the lowest common multiple (LCM) of 9 and 12?

    36

    The highest common factor of 9 and 12 is 3, so LCM = (9 × 12) ÷ 3 = 36.

  7. 7. 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.

  8. 8. What is the lowest common multiple (LCM) of 35 and 49?

    245

    The highest common factor of 35 and 49 is 7, so LCM = (35 × 49) ÷ 7 = 245.

  9. 9. What is the lowest common multiple (LCM) of 27 and 45?

    135

    The highest common factor of 27 and 45 is 9, so LCM = (27 × 45) ÷ 9 = 135.

  10. 10. What is the lowest common multiple (LCM) of 6 and 15?

    30

    The highest common factor of 6 and 15 is 3, so LCM = (6 × 15) ÷ 3 = 30.

  11. 11. What is the lowest common multiple (LCM) of 6 and 8?

    24

    The highest common factor of 6 and 8 is 2, so LCM = (6 × 8) ÷ 2 = 24.

  12. 12. What is the lowest common multiple (LCM) of 15 and 35?

    105

    The highest common factor of 15 and 35 is 5, so LCM = (15 × 35) ÷ 5 = 105.

12 questions · Seed 104741 · Age guidance, not curriculum certification