Small practice. Bright discoveries.Explore the free starter collection
Back to worksheets
MathsAges 10-12

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

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

Worksheet StudioPractice pack · Ages 10-12

Lowest common multiple (LCM)

Take your time. Show your thinking.

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

    30 · 42 · Lowest common multiple (LCM)
  2. 2. What is the lowest common multiple (LCM) of 55 and 77?

    55 · 77 · Lowest common multiple (LCM)
  3. 3. What is the lowest common multiple (LCM) of 10 and 12?

    10 · 12 · Lowest common multiple (LCM)
  4. 4. What is the lowest common multiple (LCM) of 24 and 56?

    24 · 56 · Lowest common multiple (LCM)
  5. 5. What is the lowest common multiple (LCM) of 50 and 70?

    50 · 70 · Lowest common multiple (LCM)
  6. 6. What is the lowest common multiple (LCM) of 22 and 55?

    22 · 55 · Lowest common multiple (LCM)
  7. 7. What is the lowest common multiple (LCM) of 8 and 10?

    8 · 10 · Lowest common multiple (LCM)
  8. 8. What is the lowest common multiple (LCM) of 20 and 30?

    20 · 30 · Lowest common multiple (LCM)
  9. 9. What is the lowest common multiple (LCM) of 6 and 15?

    6 · 15 · Lowest common multiple (LCM)
  10. 10. What is the lowest common multiple (LCM) of 24 and 40?

    24 · 40 · Lowest common multiple (LCM)
  11. 11. What is the lowest common multiple (LCM) of 25 and 30?

    25 · 30 · Lowest common multiple (LCM)
  12. 12. What is the lowest common multiple (LCM) of 45 and 54?

    45 · 54 · Lowest common multiple (LCM)
12 questions · Seed 52 · Age guidance, not curriculum certification
View the answer key
Worksheet StudioAnswer key · Ages 10-12

Lowest common multiple (LCM)

Answers and reasoning. Review before teaching.

  1. 1. 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.

  2. 2. What is the lowest common multiple (LCM) of 55 and 77?

    385

    The highest common factor of 55 and 77 is 11, so LCM = (55 × 77) ÷ 11 = 385.

  3. 3. 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.

  4. 4. What is the lowest common multiple (LCM) of 24 and 56?

    168

    The highest common factor of 24 and 56 is 8, so LCM = (24 × 56) ÷ 8 = 168.

  5. 5. What is the lowest common multiple (LCM) of 50 and 70?

    350

    The highest common factor of 50 and 70 is 10, so LCM = (50 × 70) ÷ 10 = 350.

  6. 6. What is the lowest common multiple (LCM) of 22 and 55?

    110

    The highest common factor of 22 and 55 is 11, so LCM = (22 × 55) ÷ 11 = 110.

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

    40

    The highest common factor of 8 and 10 is 2, so LCM = (8 × 10) ÷ 2 = 40.

  8. 8. What is the lowest common multiple (LCM) of 20 and 30?

    60

    The highest common factor of 20 and 30 is 10, so LCM = (20 × 30) ÷ 10 = 60.

  9. 9. What is the lowest common multiple (LCM) of 6 and 15?

    30

    The highest common factor of 6 and 15 is 3, so LCM = (6 × 15) ÷ 3 = 30.

  10. 10. What is the lowest common multiple (LCM) of 24 and 40?

    120

    The highest common factor of 24 and 40 is 8, so LCM = (24 × 40) ÷ 8 = 120.

  11. 11. 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.

  12. 12. 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 questions · Seed 52 · Age guidance, not curriculum certification