Small practice. Bright discoveries.Explore the free starter collection
worksheetstudio.
Sign in
Back to worksheets
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.

New variationTry interactive challengeBrowse templates
Age band:Ages 10-12Ages 13-15

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

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 24 and 32?

    24 · 32 · Lowest common multiple (LCM)

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

    20 · 35 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 45 and 54?

    45 · 54 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 30 and 40?

    30 · 40 · Lowest common multiple (LCM)

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

    12 · 30 · Lowest common multiple (LCM)

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

    10 · 14 · Lowest common multiple (LCM)

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

    36 · 60 · Lowest common multiple (LCM)

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

    8 · 20 · Lowest common multiple (LCM)

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

    6 · 10 · Lowest common multiple (LCM)

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

    48 · 84 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 16 and 40?

    16 · 40 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 35 and 49?

    35 · 49 · Lowest common multiple (LCM)
12 questions · Seed 55 · 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 24 and 32?

    96

    The highest common factor of 24 and 32 is 8, so LCM = (24 × 32) ÷ 8 = 96.

  2. 2. 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.

  3. 3. What is the lowest common multiple (LCM) of 45 and 54?

    270

    The highest common factor of 45 and 54 is 9, so LCM = (45 × 54) ÷ 9 = 270.

  4. 4. What is the lowest common multiple (LCM) of 30 and 40?

    120

    The highest common factor of 30 and 40 is 10, so LCM = (30 × 40) ÷ 10 = 120.

  5. 5. 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.

  6. 6. 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.

  7. 7. 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.

  8. 8. 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.

  9. 9. 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.

  10. 10. 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.

  11. 11. What is the lowest common multiple (LCM) of 16 and 40?

    80

    The highest common factor of 16 and 40 is 8, so LCM = (16 × 40) ÷ 8 = 80.

  12. 12. What is the lowest common multiple (LCM) of 35 and 49?

    245

    The highest common factor of 35 and 49 is 7, so LCM = (35 × 49) ÷ 7 = 245.

12 questions · Seed 55 · 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 24 and 32?

    24 · 32 · Lowest common multiple (LCM)

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

    20 · 35 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 45 and 54?

    45 · 54 · Lowest common multiple (LCM)

  4. 4. What is the lowest common multiple (LCM) of 30 and 40?

    30 · 40 · Lowest common multiple (LCM)

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

    12 · 30 · Lowest common multiple (LCM)

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

    10 · 14 · Lowest common multiple (LCM)

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

    36 · 60 · Lowest common multiple (LCM)

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

    8 · 20 · Lowest common multiple (LCM)

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

    6 · 10 · Lowest common multiple (LCM)

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

    48 · 84 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 16 and 40?

    16 · 40 · Lowest common multiple (LCM)

  12. 12. What is the lowest common multiple (LCM) of 35 and 49?

    35 · 49 · Lowest common multiple (LCM)
12 questions · Seed 55 · 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 24 and 32?

    96

    The highest common factor of 24 and 32 is 8, so LCM = (24 × 32) ÷ 8 = 96.

  2. 2. 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.

  3. 3. What is the lowest common multiple (LCM) of 45 and 54?

    270

    The highest common factor of 45 and 54 is 9, so LCM = (45 × 54) ÷ 9 = 270.

  4. 4. What is the lowest common multiple (LCM) of 30 and 40?

    120

    The highest common factor of 30 and 40 is 10, so LCM = (30 × 40) ÷ 10 = 120.

  5. 5. 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.

  6. 6. 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.

  7. 7. 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.

  8. 8. 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.

  9. 9. 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.

  10. 10. 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.

  11. 11. What is the lowest common multiple (LCM) of 16 and 40?

    80

    The highest common factor of 16 and 40 is 8, so LCM = (16 × 40) ÷ 8 = 80.

  12. 12. What is the lowest common multiple (LCM) of 35 and 49?

    245

    The highest common factor of 35 and 49 is 7, so LCM = (35 × 49) ÷ 7 = 245.

12 questions · Seed 55 · Age guidance, not curriculum certification