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 27 and 45?

    27 · 45 · Lowest common multiple (LCM)

  2. 2. What is the lowest common multiple (LCM) of 35 and 42?

    35 · 42 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 22 and 77?

    22 · 77 · Lowest common multiple (LCM)

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

    10 · 12 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 24 and 32?

    24 · 32 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 28 and 49?

    28 · 49 · Lowest common multiple (LCM)

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

    6 · 14 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 55 and 66?

    55 · 66 · Lowest common multiple (LCM)

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

    27 · 63 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 44 and 77?

    44 · 77 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 25 and 35?

    25 · 35 · 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 42 · 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 35 and 42?

    210

    The highest common factor of 35 and 42 is 7, so LCM = (35 × 42) ÷ 7 = 210.

  3. 3. What is the lowest common multiple (LCM) of 22 and 77?

    154

    The highest common factor of 22 and 77 is 11, so LCM = (22 × 77) ÷ 11 = 154.

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

    60

    The highest common factor of 10 and 12 is 2, so LCM = (10 × 12) ÷ 2 = 60.

  5. 5. 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.

  6. 6. What is the lowest common multiple (LCM) of 28 and 49?

    196

    The highest common factor of 28 and 49 is 7, so LCM = (28 × 49) ÷ 7 = 196.

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

    42

    The highest common factor of 6 and 14 is 2, so LCM = (6 × 14) ÷ 2 = 42.

  8. 8. What is the lowest common multiple (LCM) of 55 and 66?

    330

    The highest common factor of 55 and 66 is 11, so LCM = (55 × 66) ÷ 11 = 330.

  9. 9. 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.

  10. 10. What is the lowest common multiple (LCM) of 44 and 77?

    308

    The highest common factor of 44 and 77 is 11, so LCM = (44 × 77) ÷ 11 = 308.

  11. 11. 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.

  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 42 · 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 35 and 42?

    35 · 42 · Lowest common multiple (LCM)

  3. 3. What is the lowest common multiple (LCM) of 22 and 77?

    22 · 77 · Lowest common multiple (LCM)

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

    10 · 12 · Lowest common multiple (LCM)

  5. 5. What is the lowest common multiple (LCM) of 24 and 32?

    24 · 32 · Lowest common multiple (LCM)

  6. 6. What is the lowest common multiple (LCM) of 28 and 49?

    28 · 49 · Lowest common multiple (LCM)

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

    6 · 14 · Lowest common multiple (LCM)

  8. 8. What is the lowest common multiple (LCM) of 55 and 66?

    55 · 66 · Lowest common multiple (LCM)

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

    27 · 63 · Lowest common multiple (LCM)

  10. 10. What is the lowest common multiple (LCM) of 44 and 77?

    44 · 77 · Lowest common multiple (LCM)

  11. 11. What is the lowest common multiple (LCM) of 25 and 35?

    25 · 35 · 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 42 · 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 35 and 42?

    210

    The highest common factor of 35 and 42 is 7, so LCM = (35 × 42) ÷ 7 = 210.

  3. 3. What is the lowest common multiple (LCM) of 22 and 77?

    154

    The highest common factor of 22 and 77 is 11, so LCM = (22 × 77) ÷ 11 = 154.

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

    60

    The highest common factor of 10 and 12 is 2, so LCM = (10 × 12) ÷ 2 = 60.

  5. 5. 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.

  6. 6. What is the lowest common multiple (LCM) of 28 and 49?

    196

    The highest common factor of 28 and 49 is 7, so LCM = (28 × 49) ÷ 7 = 196.

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

    42

    The highest common factor of 6 and 14 is 2, so LCM = (6 × 14) ÷ 2 = 42.

  8. 8. What is the lowest common multiple (LCM) of 55 and 66?

    330

    The highest common factor of 55 and 66 is 11, so LCM = (55 × 66) ÷ 11 = 330.

  9. 9. 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.

  10. 10. What is the lowest common multiple (LCM) of 44 and 77?

    308

    The highest common factor of 44 and 77 is 11, so LCM = (44 × 77) ÷ 11 = 308.

  11. 11. 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.

  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 42 · Age guidance, not curriculum certification