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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 20 and 70?

    20 · 70 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 16 and 20?

    16 · 20 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 14 and 21?

    14 · 21 · Lowest common multiple (LCM)

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

    15 · 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 8 and 12?

    8 · 12 · Lowest common multiple (LCM)

  7. 7. What is the lowest common multiple (LCM) of 33 and 55?

    33 · 55 · Lowest common multiple (LCM)

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

    12 · 30 · Lowest common multiple (LCM)

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

    25 · 30 · Lowest common multiple (LCM)

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

    12 · 16 · Lowest common multiple (LCM)

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

    4 · 6 · Lowest common multiple (LCM)

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

    6 · 9 · Lowest common multiple (LCM)
12 questions · Seed 104738 · 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 20 and 70?

    140

    The highest common factor of 20 and 70 is 10, so LCM = (20 × 70) ÷ 10 = 140.

  2. 2. What is the lowest common multiple (LCM) of 16 and 20?

    80

    The highest common factor of 16 and 20 is 4, so LCM = (16 × 20) ÷ 4 = 80.

  3. 3. What is the lowest common multiple (LCM) of 14 and 21?

    42

    The highest common factor of 14 and 21 is 7, so LCM = (14 × 21) ÷ 7 = 42.

  4. 4. 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.

  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 8 and 12?

    24

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

  7. 7. What is the lowest common multiple (LCM) of 33 and 55?

    165

    The highest common factor of 33 and 55 is 11, so LCM = (33 × 55) ÷ 11 = 165.

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

    60

    The highest common factor of 12 and 30 is 6, so LCM = (12 × 30) ÷ 6 = 60.

  9. 9. 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.

  10. 10. 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.

  11. 11. 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.

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

    18

    The highest common factor of 6 and 9 is 3, so LCM = (6 × 9) ÷ 3 = 18.

12 questions · Seed 104738 · 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 20 and 70?

    20 · 70 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 16 and 20?

    16 · 20 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 14 and 21?

    14 · 21 · Lowest common multiple (LCM)

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

    15 · 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 8 and 12?

    8 · 12 · Lowest common multiple (LCM)

  7. 7. What is the lowest common multiple (LCM) of 33 and 55?

    33 · 55 · Lowest common multiple (LCM)

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

    12 · 30 · Lowest common multiple (LCM)

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

    25 · 30 · Lowest common multiple (LCM)

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

    12 · 16 · Lowest common multiple (LCM)

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

    4 · 6 · Lowest common multiple (LCM)

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

    6 · 9 · Lowest common multiple (LCM)
12 questions · Seed 104738 · 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 20 and 70?

    140

    The highest common factor of 20 and 70 is 10, so LCM = (20 × 70) ÷ 10 = 140.

  2. 2. What is the lowest common multiple (LCM) of 16 and 20?

    80

    The highest common factor of 16 and 20 is 4, so LCM = (16 × 20) ÷ 4 = 80.

  3. 3. What is the lowest common multiple (LCM) of 14 and 21?

    42

    The highest common factor of 14 and 21 is 7, so LCM = (14 × 21) ÷ 7 = 42.

  4. 4. 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.

  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 8 and 12?

    24

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

  7. 7. What is the lowest common multiple (LCM) of 33 and 55?

    165

    The highest common factor of 33 and 55 is 11, so LCM = (33 × 55) ÷ 11 = 165.

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

    60

    The highest common factor of 12 and 30 is 6, so LCM = (12 × 30) ÷ 6 = 60.

  9. 9. 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.

  10. 10. 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.

  11. 11. 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.

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

    18

    The highest common factor of 6 and 9 is 3, so LCM = (6 × 9) ÷ 3 = 18.

12 questions · Seed 104738 · Age guidance, not curriculum certification