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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 10 and 12?

    10 · 12 · Lowest common multiple (LCM)

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

    12 · 15 · Lowest common multiple (LCM)

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

    30 · 36 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 25 and 35?

    25 · 35 · Lowest common multiple (LCM)

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

    30 · 50 · Lowest common multiple (LCM)

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

    20 · 25 · Lowest common multiple (LCM)

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

    33 · 77 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 24 and 30?

    24 · 30 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 40 and 56?

    40 · 56 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 40 and 50?

    40 · 50 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 12 and 16?

    12 · 16 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 18 and 30?

    18 · 30 · Lowest common multiple (LCM)
12 questions · Seed 69 · 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 10 and 12?

    60

    The highest common factor of 10 and 12 is 2, so LCM = (10 × 12) ÷ 2 = 60.

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

    60

    The highest common factor of 12 and 15 is 3, so LCM = (12 × 15) ÷ 3 = 60.

  3. 3. 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.

  4. 4. What is the lowest common multiple (LCM) of 25 and 35?

    175

    The highest common factor of 25 and 35 is 5, so LCM = (25 × 35) ÷ 5 = 175.

  5. 5. 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.

  6. 6. 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.

  7. 7. 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.

  8. 8. What is the lowest common multiple (LCM) of 24 and 30?

    120

    The highest common factor of 24 and 30 is 6, so LCM = (24 × 30) ÷ 6 = 120.

  9. 9. 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.

  10. 10. What is the lowest common multiple (LCM) of 40 and 50?

    200

    The highest common factor of 40 and 50 is 10, so LCM = (40 × 50) ÷ 10 = 200.

  11. 11. What is the lowest common multiple (LCM) of 12 and 16?

    48

    The highest common factor of 12 and 16 is 4, so LCM = (12 × 16) ÷ 4 = 48.

  12. 12. What is the lowest common multiple (LCM) of 18 and 30?

    90

    The highest common factor of 18 and 30 is 6, so LCM = (18 × 30) ÷ 6 = 90.

12 questions · Seed 69 · 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 10 and 12?

    10 · 12 · Lowest common multiple (LCM)

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

    12 · 15 · Lowest common multiple (LCM)

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

    30 · 36 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 25 and 35?

    25 · 35 · Lowest common multiple (LCM)

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

    30 · 50 · Lowest common multiple (LCM)

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

    20 · 25 · Lowest common multiple (LCM)

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

    33 · 77 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 24 and 30?

    24 · 30 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 40 and 56?

    40 · 56 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 40 and 50?

    40 · 50 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 12 and 16?

    12 · 16 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 18 and 30?

    18 · 30 · Lowest common multiple (LCM)
12 questions · Seed 69 · 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 10 and 12?

    60

    The highest common factor of 10 and 12 is 2, so LCM = (10 × 12) ÷ 2 = 60.

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

    60

    The highest common factor of 12 and 15 is 3, so LCM = (12 × 15) ÷ 3 = 60.

  3. 3. 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.

  4. 4. What is the lowest common multiple (LCM) of 25 and 35?

    175

    The highest common factor of 25 and 35 is 5, so LCM = (25 × 35) ÷ 5 = 175.

  5. 5. 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.

  6. 6. 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.

  7. 7. 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.

  8. 8. What is the lowest common multiple (LCM) of 24 and 30?

    120

    The highest common factor of 24 and 30 is 6, so LCM = (24 × 30) ÷ 6 = 120.

  9. 9. 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.

  10. 10. What is the lowest common multiple (LCM) of 40 and 50?

    200

    The highest common factor of 40 and 50 is 10, so LCM = (40 × 50) ÷ 10 = 200.

  11. 11. What is the lowest common multiple (LCM) of 12 and 16?

    48

    The highest common factor of 12 and 16 is 4, so LCM = (12 × 16) ÷ 4 = 48.

  12. 12. What is the lowest common multiple (LCM) of 18 and 30?

    90

    The highest common factor of 18 and 30 is 6, so LCM = (18 × 30) ÷ 6 = 90.

12 questions · Seed 69 · Age guidance, not curriculum certification