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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 273 · 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 7 and 3.
  2. 2.Find the HCF of 32 and 56.
  3. 3.Find the LCM of 13, 3 and 4.
  4. 4.Find the HCF of 72 and 64.
  5. 5.Find the LCM of 15, 5 and 6.
  6. 6.Find the LCM of 4, 6 and 2.
  7. 7.Find the LCM of 42 and 12.
  8. 8.Find the HCF of 42 and 54.
  9. 9.Find the LCM of 2, 3 and 4.
  10. 10.Find the LCM of 8 and 7.
  11. 11.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  12. 12.Find the HCF of 60 and 105.
  13. 13.Find the HCF of 96 and 108.
  14. 14.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  15. 15.Find the LCM of 16 and 12.
  16. 16.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  17. 17.Find the LCM of 2, 15 and 7.
  18. 18.Find the LCM of 4 and 3.
  19. 19.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  20. 20.Find the LCM of 20 and 32.
  21. 21.Find the LCM of 42 and 18.
  22. 22.Find the LCM of 4, 8 and 5.
  23. 23.Find the LCM of 15, 3 and 14.
  24. 24.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  25. 25.Find the LCM of 10 and 15.
  26. 26.Find the LCM of 4, 12 and 8.
  27. 27.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 8. What is the other number?
  28. 28.Find the HCF of 96 and 84.
  29. 29.Find the HCF of 40 and 32.
  30. 30.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  31. 31.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  32. 32.Find the HCF of 45 and 30.
  33. 33.Find the LCM of 45 and 35.
  34. 34.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  35. 35.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  36. 36.Find the LCM of 7 and 5.
  37. 37.Find the LCM of 32 and 20.
  38. 38.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  39. 39.Find the LCM of 7, 2 and 10.
  40. 40.Find the HCF of 15 and 12.

Answer key

  1. 21
  2. 8
  3. 156
  4. 8
  5. 30
  6. 12
  7. 84
  8. 6
  9. 12
  10. 56
  11. 48
  12. 15
  13. 12
  14. 24
  15. 48
  16. 10
  17. 210
  18. 12
  19. 18
  20. 160
  21. 126
  22. 40
  23. 210
  24. 18
  25. 30
  26. 24
  27. 14
  28. 12
  29. 8
  30. 72
  31. 40
  32. 15
  33. 315
  34. 18
  35. 21
  36. 35
  37. 160
  38. 18
  39. 70
  40. 3

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