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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 8 and 12?

    8 · 12 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 8 and 28?

    8 · 28 · Lowest common multiple (LCM)

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

    6 · 10 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 20 and 35?

    20 · 35 · Lowest common multiple (LCM)

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

    20 · 70 · Lowest common multiple (LCM)

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

    33 · 77 · Lowest common multiple (LCM)

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

    6 · 14 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 45 and 63?

    45 · 63 · 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 15 and 35?

    15 · 35 · Lowest common multiple (LCM)

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

    48 · 84 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 36 and 84?

    36 · 84 · Lowest common multiple (LCM)
12 questions · Seed 56 · 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 8 and 12?

    24

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

  2. 2. What is the lowest common multiple (LCM) of 8 and 28?

    56

    The highest common factor of 8 and 28 is 4, so LCM = (8 × 28) ÷ 4 = 56.

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

    30

    The highest common factor of 6 and 10 is 2, so LCM = (6 × 10) ÷ 2 = 30.

  4. 4. What is the lowest common multiple (LCM) of 20 and 35?

    140

    The highest common factor of 20 and 35 is 5, so LCM = (20 × 35) ÷ 5 = 140.

  5. 5. 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.

  6. 6. 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.

  7. 7. 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.

  8. 8. What is the lowest common multiple (LCM) of 45 and 63?

    315

    The highest common factor of 45 and 63 is 9, so LCM = (45 × 63) ÷ 9 = 315.

  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 15 and 35?

    105

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

  11. 11. 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.

  12. 12. What is the lowest common multiple (LCM) of 36 and 84?

    252

    The highest common factor of 36 and 84 is 12, so LCM = (36 × 84) ÷ 12 = 252.

12 questions · Seed 56 · 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 8 and 12?

    8 · 12 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 8 and 28?

    8 · 28 · Lowest common multiple (LCM)

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

    6 · 10 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 20 and 35?

    20 · 35 · Lowest common multiple (LCM)

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

    20 · 70 · Lowest common multiple (LCM)

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

    33 · 77 · Lowest common multiple (LCM)

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

    6 · 14 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 45 and 63?

    45 · 63 · 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 15 and 35?

    15 · 35 · Lowest common multiple (LCM)

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

    48 · 84 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 36 and 84?

    36 · 84 · Lowest common multiple (LCM)
12 questions · Seed 56 · 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 8 and 12?

    24

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

  2. 2. What is the lowest common multiple (LCM) of 8 and 28?

    56

    The highest common factor of 8 and 28 is 4, so LCM = (8 × 28) ÷ 4 = 56.

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

    30

    The highest common factor of 6 and 10 is 2, so LCM = (6 × 10) ÷ 2 = 30.

  4. 4. What is the lowest common multiple (LCM) of 20 and 35?

    140

    The highest common factor of 20 and 35 is 5, so LCM = (20 × 35) ÷ 5 = 140.

  5. 5. 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.

  6. 6. 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.

  7. 7. 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.

  8. 8. What is the lowest common multiple (LCM) of 45 and 63?

    315

    The highest common factor of 45 and 63 is 9, so LCM = (45 × 63) ÷ 9 = 315.

  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 15 and 35?

    105

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

  11. 11. 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.

  12. 12. What is the lowest common multiple (LCM) of 36 and 84?

    252

    The highest common factor of 36 and 84 is 12, so LCM = (36 × 84) ÷ 12 = 252.

12 questions · Seed 56 · Age guidance, not curriculum certification