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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 18 and 30?

    18 · 30 · Lowest common multiple (LCM)

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

    20 · 70 · Lowest common multiple (LCM)

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

    40 · 56 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 25 and 30?

    25 · 30 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 36 and 60?

    36 · 60 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 24 and 56?

    24 · 56 · Lowest common multiple (LCM)

  7. 7. What is the lowest common multiple (LCM) of 4 and 10?

    4 · 10 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 12 and 42?

    12 · 42 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 55 and 66?

    55 · 66 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 8 and 12?

    8 · 12 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 28 and 49?

    28 · 49 · Lowest common multiple (LCM)

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

    14 · 35 · Lowest common multiple (LCM)
12 questions · Seed 48 · 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 18 and 30?

    90

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

  2. 2. 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.

  3. 3. 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.

  4. 4. What is the lowest common multiple (LCM) of 25 and 30?

    150

    The highest common factor of 25 and 30 is 5, so LCM = (25 × 30) ÷ 5 = 150.

  5. 5. What is the lowest common multiple (LCM) of 36 and 60?

    180

    The highest common factor of 36 and 60 is 12, so LCM = (36 × 60) ÷ 12 = 180.

  6. 6. What is the lowest common multiple (LCM) of 24 and 56?

    168

    The highest common factor of 24 and 56 is 8, so LCM = (24 × 56) ÷ 8 = 168.

  7. 7. What is the lowest common multiple (LCM) of 4 and 10?

    20

    The highest common factor of 4 and 10 is 2, so LCM = (4 × 10) ÷ 2 = 20.

  8. 8. What is the lowest common multiple (LCM) of 12 and 42?

    84

    The highest common factor of 12 and 42 is 6, so LCM = (12 × 42) ÷ 6 = 84.

  9. 9. What is the lowest common multiple (LCM) of 55 and 66?

    330

    The highest common factor of 55 and 66 is 11, so LCM = (55 × 66) ÷ 11 = 330.

  10. 10. What is the lowest common multiple (LCM) of 8 and 12?

    24

    The highest common factor of 8 and 12 is 4, so LCM = (8 × 12) ÷ 4 = 24.

  11. 11. What is the lowest common multiple (LCM) of 28 and 49?

    196

    The highest common factor of 28 and 49 is 7, so LCM = (28 × 49) ÷ 7 = 196.

  12. 12. 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.

12 questions · Seed 48 · 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 18 and 30?

    18 · 30 · Lowest common multiple (LCM)

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

    20 · 70 · Lowest common multiple (LCM)

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

    40 · 56 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 25 and 30?

    25 · 30 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 36 and 60?

    36 · 60 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 24 and 56?

    24 · 56 · Lowest common multiple (LCM)

  7. 7. What is the lowest common multiple (LCM) of 4 and 10?

    4 · 10 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 12 and 42?

    12 · 42 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 55 and 66?

    55 · 66 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 8 and 12?

    8 · 12 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 28 and 49?

    28 · 49 · Lowest common multiple (LCM)

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

    14 · 35 · Lowest common multiple (LCM)
12 questions · Seed 48 · 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 18 and 30?

    90

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

  2. 2. 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.

  3. 3. 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.

  4. 4. What is the lowest common multiple (LCM) of 25 and 30?

    150

    The highest common factor of 25 and 30 is 5, so LCM = (25 × 30) ÷ 5 = 150.

  5. 5. What is the lowest common multiple (LCM) of 36 and 60?

    180

    The highest common factor of 36 and 60 is 12, so LCM = (36 × 60) ÷ 12 = 180.

  6. 6. What is the lowest common multiple (LCM) of 24 and 56?

    168

    The highest common factor of 24 and 56 is 8, so LCM = (24 × 56) ÷ 8 = 168.

  7. 7. What is the lowest common multiple (LCM) of 4 and 10?

    20

    The highest common factor of 4 and 10 is 2, so LCM = (4 × 10) ÷ 2 = 20.

  8. 8. What is the lowest common multiple (LCM) of 12 and 42?

    84

    The highest common factor of 12 and 42 is 6, so LCM = (12 × 42) ÷ 6 = 84.

  9. 9. What is the lowest common multiple (LCM) of 55 and 66?

    330

    The highest common factor of 55 and 66 is 11, so LCM = (55 × 66) ÷ 11 = 330.

  10. 10. What is the lowest common multiple (LCM) of 8 and 12?

    24

    The highest common factor of 8 and 12 is 4, so LCM = (8 × 12) ÷ 4 = 24.

  11. 11. What is the lowest common multiple (LCM) of 28 and 49?

    196

    The highest common factor of 28 and 49 is 7, so LCM = (28 × 49) ÷ 7 = 196.

  12. 12. 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.

12 questions · Seed 48 · Age guidance, not curriculum certification