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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 25 and 35?

    25 · 35 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 28 and 35?

    28 · 35 · Lowest common multiple (LCM)

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

    4 · 10 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 36 and 45?

    36 · 45 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 24 and 42?

    24 · 42 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 24 and 60?

    24 · 60 · Lowest common multiple (LCM)

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

    45 · 63 · Lowest common multiple (LCM)

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

    10 · 15 · Lowest common multiple (LCM)

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

    36 · 60 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 27 and 63?

    27 · 63 · Lowest common multiple (LCM)

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

    18 · 30 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 16 and 24?

    16 · 24 · Lowest common multiple (LCM)
12 questions · Seed 43 · 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 25 and 35?

    175

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

  2. 2. What is the lowest common multiple (LCM) of 28 and 35?

    140

    The highest common factor of 28 and 35 is 7, so LCM = (28 × 35) ÷ 7 = 140.

  3. 3. 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.

  4. 4. What is the lowest common multiple (LCM) of 36 and 45?

    180

    The highest common factor of 36 and 45 is 9, so LCM = (36 × 45) ÷ 9 = 180.

  5. 5. What is the lowest common multiple (LCM) of 24 and 42?

    168

    The highest common factor of 24 and 42 is 6, so LCM = (24 × 42) ÷ 6 = 168.

  6. 6. What is the lowest common multiple (LCM) of 24 and 60?

    120

    The highest common factor of 24 and 60 is 12, so LCM = (24 × 60) ÷ 12 = 120.

  7. 7. 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.

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

    30

    The highest common factor of 10 and 15 is 5, so LCM = (10 × 15) ÷ 5 = 30.

  9. 9. 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.

  10. 10. What is the lowest common multiple (LCM) of 27 and 63?

    189

    The highest common factor of 27 and 63 is 9, so LCM = (27 × 63) ÷ 9 = 189.

  11. 11. 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. 12. What is the lowest common multiple (LCM) of 16 and 24?

    48

    The highest common factor of 16 and 24 is 8, so LCM = (16 × 24) ÷ 8 = 48.

12 questions · Seed 43 · 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 25 and 35?

    25 · 35 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 28 and 35?

    28 · 35 · Lowest common multiple (LCM)

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

    4 · 10 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 36 and 45?

    36 · 45 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 24 and 42?

    24 · 42 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 24 and 60?

    24 · 60 · Lowest common multiple (LCM)

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

    45 · 63 · Lowest common multiple (LCM)

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

    10 · 15 · Lowest common multiple (LCM)

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

    36 · 60 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 27 and 63?

    27 · 63 · Lowest common multiple (LCM)

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

    18 · 30 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 16 and 24?

    16 · 24 · Lowest common multiple (LCM)
12 questions · Seed 43 · 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 25 and 35?

    175

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

  2. 2. What is the lowest common multiple (LCM) of 28 and 35?

    140

    The highest common factor of 28 and 35 is 7, so LCM = (28 × 35) ÷ 7 = 140.

  3. 3. 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.

  4. 4. What is the lowest common multiple (LCM) of 36 and 45?

    180

    The highest common factor of 36 and 45 is 9, so LCM = (36 × 45) ÷ 9 = 180.

  5. 5. What is the lowest common multiple (LCM) of 24 and 42?

    168

    The highest common factor of 24 and 42 is 6, so LCM = (24 × 42) ÷ 6 = 168.

  6. 6. What is the lowest common multiple (LCM) of 24 and 60?

    120

    The highest common factor of 24 and 60 is 12, so LCM = (24 × 60) ÷ 12 = 120.

  7. 7. 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.

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

    30

    The highest common factor of 10 and 15 is 5, so LCM = (10 × 15) ÷ 5 = 30.

  9. 9. 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.

  10. 10. What is the lowest common multiple (LCM) of 27 and 63?

    189

    The highest common factor of 27 and 63 is 9, so LCM = (27 × 63) ÷ 9 = 189.

  11. 11. 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. 12. What is the lowest common multiple (LCM) of 16 and 24?

    48

    The highest common factor of 16 and 24 is 8, so LCM = (16 × 24) ÷ 8 = 48.

12 questions · Seed 43 · Age guidance, not curriculum certification