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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 727 · 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 14.
  2. 2.Find the LCM of 2, 10 and 3.
  3. 3.Find the LCM of 15 and 18.
  4. 4.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  5. 5.Find the HCF of 10 and 25.
  6. 6.Find the HCF of 12 and 28.
  7. 7.Find the HCF of 70 and 42.
  8. 8.Find the HCF of 20 and 15.
  9. 9.Find the LCM of 28 and 36.
  10. 10.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  11. 11.Find the LCM of 14, 3 and 8.
  12. 12.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  13. 13.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  14. 14.Find the LCM of 2, 4 and 11.
  15. 15.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  16. 16.Find the LCM of 9 and 6.
  17. 17.Find the LCM of 8, 3 and 2.
  18. 18.Find the LCM of 2, 5 and 12.
  19. 19.Find the LCM of 18 and 15.
  20. 20.Find the LCM of 12 and 14.
  21. 21.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 42. What is the other number?
  22. 22.Find the LCM of 7, 15 and 6.
  23. 23.Find the HCF of 40 and 70.
  24. 24.Find the HCF of 35 and 10.
  25. 25.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  26. 26.Find the LCM of 4 and 7.
  27. 27.Find the LCM of 4 and 9.
  28. 28.Find the LCM of 21 and 12.
  29. 29.Find the HCF of 98 and 42.
  30. 30.Find the LCM of 4, 13 and 12.
  31. 31.Find the HCF of 120 and 75.
  32. 32.Find the HCF of 24 and 56.
  33. 33.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  34. 34.Find the HCF of 15 and 12.
  35. 35.Find the LCM of 5, 2 and 7.
  36. 36.Find the HCF of 28 and 16.
  37. 37.Find the LCM of 3, 13 and 2.
  38. 38.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  39. 39.Find the HCF of 99 and 44.
  40. 40.Find the LCM of 35 and 20.

Answer key

  1. 126
  2. 30
  3. 90
  4. 16
  5. 5
  6. 4
  7. 14
  8. 5
  9. 252
  10. 12
  11. 168
  12. 25
  13. 36
  14. 44
  15. 35
  16. 18
  17. 24
  18. 60
  19. 90
  20. 84
  21. 54
  22. 210
  23. 10
  24. 5
  25. 48
  26. 28
  27. 36
  28. 84
  29. 14
  30. 156
  31. 15
  32. 8
  33. 18
  34. 3
  35. 70
  36. 4
  37. 78
  38. 81
  39. 11
  40. 140

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