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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 27 and 45?

    27 · 45 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 30 and 42?

    30 · 42 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 20 and 30?

    20 · 30 · Lowest common multiple (LCM)

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

    10 · 14 · Lowest common multiple (LCM)

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

    24 · 56 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 18 and 24?

    18 · 24 · Lowest common multiple (LCM)

  7. 7. What is the lowest common multiple (LCM) of 33 and 44?

    33 · 44 · Lowest common multiple (LCM)

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

    48 · 84 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 36 and 48?

    36 · 48 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 15 and 18?

    15 · 18 · Lowest common multiple (LCM)

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

    8 · 20 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 24 and 40?

    24 · 40 · Lowest common multiple (LCM)
12 questions · Seed 104732 · 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 27 and 45?

    135

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

  2. 2. What is the lowest common multiple (LCM) of 30 and 42?

    210

    The highest common factor of 30 and 42 is 6, so LCM = (30 × 42) ÷ 6 = 210.

  3. 3. What is the lowest common multiple (LCM) of 20 and 30?

    60

    The highest common factor of 20 and 30 is 10, so LCM = (20 × 30) ÷ 10 = 60.

  4. 4. 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.

  5. 5. 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.

  6. 6. What is the lowest common multiple (LCM) of 18 and 24?

    72

    The highest common factor of 18 and 24 is 6, so LCM = (18 × 24) ÷ 6 = 72.

  7. 7. What is the lowest common multiple (LCM) of 33 and 44?

    132

    The highest common factor of 33 and 44 is 11, so LCM = (33 × 44) ÷ 11 = 132.

  8. 8. 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.

  9. 9. What is the lowest common multiple (LCM) of 36 and 48?

    144

    The highest common factor of 36 and 48 is 12, so LCM = (36 × 48) ÷ 12 = 144.

  10. 10. What is the lowest common multiple (LCM) of 15 and 18?

    90

    The highest common factor of 15 and 18 is 3, so LCM = (15 × 18) ÷ 3 = 90.

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

    40

    The highest common factor of 8 and 20 is 4, so LCM = (8 × 20) ÷ 4 = 40.

  12. 12. What is the lowest common multiple (LCM) of 24 and 40?

    120

    The highest common factor of 24 and 40 is 8, so LCM = (24 × 40) ÷ 8 = 120.

12 questions · Seed 104732 · 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 27 and 45?

    27 · 45 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 30 and 42?

    30 · 42 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 20 and 30?

    20 · 30 · Lowest common multiple (LCM)

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

    10 · 14 · Lowest common multiple (LCM)

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

    24 · 56 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 18 and 24?

    18 · 24 · Lowest common multiple (LCM)

  7. 7. What is the lowest common multiple (LCM) of 33 and 44?

    33 · 44 · Lowest common multiple (LCM)

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

    48 · 84 · Lowest common multiple (LCM)

  9. 9. What is the lowest common multiple (LCM) of 36 and 48?

    36 · 48 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 15 and 18?

    15 · 18 · Lowest common multiple (LCM)

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

    8 · 20 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 24 and 40?

    24 · 40 · Lowest common multiple (LCM)
12 questions · Seed 104732 · 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 27 and 45?

    135

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

  2. 2. What is the lowest common multiple (LCM) of 30 and 42?

    210

    The highest common factor of 30 and 42 is 6, so LCM = (30 × 42) ÷ 6 = 210.

  3. 3. What is the lowest common multiple (LCM) of 20 and 30?

    60

    The highest common factor of 20 and 30 is 10, so LCM = (20 × 30) ÷ 10 = 60.

  4. 4. 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.

  5. 5. 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.

  6. 6. What is the lowest common multiple (LCM) of 18 and 24?

    72

    The highest common factor of 18 and 24 is 6, so LCM = (18 × 24) ÷ 6 = 72.

  7. 7. What is the lowest common multiple (LCM) of 33 and 44?

    132

    The highest common factor of 33 and 44 is 11, so LCM = (33 × 44) ÷ 11 = 132.

  8. 8. 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.

  9. 9. What is the lowest common multiple (LCM) of 36 and 48?

    144

    The highest common factor of 36 and 48 is 12, so LCM = (36 × 48) ÷ 12 = 144.

  10. 10. What is the lowest common multiple (LCM) of 15 and 18?

    90

    The highest common factor of 15 and 18 is 3, so LCM = (15 × 18) ÷ 3 = 90.

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

    40

    The highest common factor of 8 and 20 is 4, so LCM = (8 × 20) ÷ 4 = 40.

  12. 12. What is the lowest common multiple (LCM) of 24 and 40?

    120

    The highest common factor of 24 and 40 is 8, so LCM = (24 × 40) ÷ 8 = 120.

12 questions · Seed 104732 · Age guidance, not curriculum certification