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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 68 · 40 questions
TalentJR

The method (Prime factors): Write each number as a product of primes: 36 = 2 × 2 × 3 × 3. HCF: multiply the primes the numbers share (each as many times as it appears in both). LCM: take every prime the greatest number of times it appears. For two numbers, HCF × LCM = first number × second number.

NameDateTime takenScore ___ / 40
  1. 1.Find the LCM of 18 and 15.
  2. 2.Find the LCM of 3, 9 and 7.
  3. 3.Find the HCF of 49 and 28.
  4. 4.Find the HCF of 21 and 12.
  5. 5.Find the HCF of 36 and 24.
  6. 6.Find the LCM of 15, 6 and 2.
  7. 7.Find the LCM of 5, 2 and 10.
  8. 8.Find the LCM of 15, 8 and 5.
  9. 9.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  10. 10.Find the LCM of 18 and 42.
  11. 11.Find the HCF of 108 and 24.
  12. 12.Find the HCF of 24 and 32.
  13. 13.Find the LCM of 7 and 3.
  14. 14.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 20. What is the other number?
  15. 15.Find the LCM of 30 and 42.
  16. 16.Find the LCM of 10, 3 and 15.
  17. 17.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  18. 18.Find the LCM of 15, 12 and 5.
  19. 19.Find the LCM of 42 and 18.
  20. 20.Find the LCM of 10 and 45.
  21. 21.Find the LCM of 2, 5 and 7.
  22. 22.Find the HCF of 15 and 27.
  23. 23.Find the LCM of 10, 4 and 5.
  24. 24.Find the LCM of 20 and 12.
  25. 25.Find the HCF of 54 and 42.
  26. 26.Find the LCM of 30 and 24.
  27. 27.Find the LCM of 10 and 25.
  28. 28.Find the LCM of 18 and 12.
  29. 29.Find the HCF of 8 and 20.
  30. 30.Find the HCF of 14 and 8.
  31. 31.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  32. 32.Find the HCF of 28 and 21.
  33. 33.Find the LCM of 9, 10 and 5.
  34. 34.Find the HCF of 65 and 52.
  35. 35.Find the HCF of 42 and 56.
  36. 36.Find the LCM of 6, 4 and 2.
  37. 37.Find the LCM of 10 and 4.
  38. 38.Find the LCM of 15 and 9.
  39. 39.Find the HCF of 40 and 70.
  40. 40.Find the LCM of 54 and 12.

Answer key

  1. 90
  2. 63
  3. 7
  4. 3
  5. 12
  6. 30
  7. 10
  8. 120
  9. 10
  10. 126
  11. 12
  12. 8
  13. 21
  14. 25
  15. 210
  16. 30
  17. 15
  18. 60
  19. 126
  20. 90
  21. 70
  22. 3
  23. 20
  24. 60
  25. 6
  26. 120
  27. 50
  28. 36
  29. 4
  30. 2
  31. 36
  32. 7
  33. 90
  34. 13
  35. 14
  36. 12
  37. 20
  38. 45
  39. 10
  40. 108

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