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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 159 · 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 8, 12 and 2.
  2. 2.Find the LCM of 32 and 12.
  3. 3.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  4. 4.Find the LCM of 14 and 4.
  5. 5.Find the HCF of 6 and 27.
  6. 6.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  7. 7.Find the LCM of 5, 2 and 6.
  8. 8.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  9. 9.Find the HCF of 10 and 45.
  10. 10.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  11. 11.Find the LCM of 10 and 8.
  12. 12.Find the HCF of 80 and 30.
  13. 13.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  14. 14.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  15. 15.Find the HCF of 27 and 6.
  16. 16.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  17. 17.Find the HCF of 27 and 15.
  18. 18.Find the LCM of 9, 3 and 14.
  19. 19.Find the HCF of 105 and 75.
  20. 20.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  21. 21.Find the LCM of 12, 3 and 9.
  22. 22.Find the HCF of 66 and 77.
  23. 23.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 21. What is the other number?
  24. 24.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  25. 25.Find the LCM of 42 and 36.
  26. 26.Find the LCM of 16 and 20.
  27. 27.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  28. 28.Find the HCF of 27 and 12.
  29. 29.Find the LCM of 10, 4 and 6.
  30. 30.Find the LCM of 3 and 7.
  31. 31.Find the HCF of 26 and 39.
  32. 32.Find the LCM of 24 and 20.
  33. 33.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  34. 34.Find the HCF of 20 and 35.
  35. 35.Find the LCM of 4, 13 and 8.
  36. 36.Find the LCM of 5, 6 and 10.
  37. 37.Find the HCF of 84 and 98.
  38. 38.Find the LCM of 10, 2 and 8.
  39. 39.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  40. 40.Find the HCF of 40 and 90.

Answer key

  1. 24
  2. 96
  3. 20
  4. 28
  5. 3
  6. 28
  7. 30
  8. 42
  9. 5
  10. 25
  11. 40
  12. 10
  13. 63
  14. 21
  15. 3
  16. 6
  17. 3
  18. 126
  19. 15
  20. 27
  21. 36
  22. 11
  23. 15
  24. 16
  25. 252
  26. 80
  27. 24
  28. 3
  29. 60
  30. 21
  31. 13
  32. 120
  33. 72
  34. 5
  35. 104
  36. 30
  37. 14
  38. 40
  39. 27
  40. 10

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