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 16 and 56?

    16 · 56 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 12 and 15?

    12 · 15 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 14 and 35?

    14 · 35 · Lowest common multiple (LCM)

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

    15 · 18 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 14 and 49?

    14 · 49 · Lowest common multiple (LCM)

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

    16 · 24 · Lowest common multiple (LCM)

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

    36 · 84 · 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 8 and 14?

    8 · 14 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 12 and 28?

    12 · 28 · Lowest common multiple (LCM)

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

    45 · 54 · Lowest common multiple (LCM)

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

    30 · 42 · Lowest common multiple (LCM)
12 questions · Seed 57 · 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 16 and 56?

    112

    The highest common factor of 16 and 56 is 8, so LCM = (16 × 56) ÷ 8 = 112.

  2. 2. What is the lowest common multiple (LCM) of 12 and 15?

    60

    The highest common factor of 12 and 15 is 3, so LCM = (12 × 15) ÷ 3 = 60.

  3. 3. What is the lowest common multiple (LCM) of 14 and 35?

    70

    The highest common factor of 14 and 35 is 7, so LCM = (14 × 35) ÷ 7 = 70.

  4. 4. 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.

  5. 5. What is the lowest common multiple (LCM) of 14 and 49?

    98

    The highest common factor of 14 and 49 is 7, so LCM = (14 × 49) ÷ 7 = 98.

  6. 6. 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.

  7. 7. 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.

  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 8 and 14?

    56

    The highest common factor of 8 and 14 is 2, so LCM = (8 × 14) ÷ 2 = 56.

  10. 10. What is the lowest common multiple (LCM) of 12 and 28?

    84

    The highest common factor of 12 and 28 is 4, so LCM = (12 × 28) ÷ 4 = 84.

  11. 11. 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.

  12. 12. 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.

12 questions · Seed 57 · 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 16 and 56?

    16 · 56 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 12 and 15?

    12 · 15 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 14 and 35?

    14 · 35 · Lowest common multiple (LCM)

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

    15 · 18 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 14 and 49?

    14 · 49 · Lowest common multiple (LCM)

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

    16 · 24 · Lowest common multiple (LCM)

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

    36 · 84 · 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 8 and 14?

    8 · 14 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 12 and 28?

    12 · 28 · Lowest common multiple (LCM)

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

    45 · 54 · Lowest common multiple (LCM)

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

    30 · 42 · Lowest common multiple (LCM)
12 questions · Seed 57 · 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 16 and 56?

    112

    The highest common factor of 16 and 56 is 8, so LCM = (16 × 56) ÷ 8 = 112.

  2. 2. What is the lowest common multiple (LCM) of 12 and 15?

    60

    The highest common factor of 12 and 15 is 3, so LCM = (12 × 15) ÷ 3 = 60.

  3. 3. What is the lowest common multiple (LCM) of 14 and 35?

    70

    The highest common factor of 14 and 35 is 7, so LCM = (14 × 35) ÷ 7 = 70.

  4. 4. 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.

  5. 5. What is the lowest common multiple (LCM) of 14 and 49?

    98

    The highest common factor of 14 and 49 is 7, so LCM = (14 × 49) ÷ 7 = 98.

  6. 6. 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.

  7. 7. 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.

  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 8 and 14?

    56

    The highest common factor of 8 and 14 is 2, so LCM = (8 × 14) ÷ 2 = 56.

  10. 10. What is the lowest common multiple (LCM) of 12 and 28?

    84

    The highest common factor of 12 and 28 is 4, so LCM = (12 × 28) ÷ 4 = 84.

  11. 11. 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.

  12. 12. 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.

12 questions · Seed 57 · Age guidance, not curriculum certification