← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 132 · 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 12 and 16.
  2. 2.Find the HCF of 28 and 42.
  3. 3.Find the LCM of 15, 8 and 6.
  4. 4.Find the LCM of 15, 13 and 5.
  5. 5.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  6. 6.Find the LCM of 2, 8 and 5.
  7. 7.Find the LCM of 8 and 12.
  8. 8.Find the HCF of 9 and 21.
  9. 9.Find the HCF of 105 and 120.
  10. 10.Find the LCM of 12, 2 and 15.
  11. 11.Find the LCM of 14, 8 and 7.
  12. 12.Find the LCM of 8, 6 and 7.
  13. 13.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  14. 14.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  15. 15.Find the HCF of 27 and 24.
  16. 16.Find the LCM of 13, 5 and 10.
  17. 17.Find the HCF of 30 and 20.
  18. 18.Find the LCM of 20 and 28.
  19. 19.Find the LCM of 8 and 5.
  20. 20.Find the LCM of 15, 5 and 2.
  21. 21.Find the HCF of 15 and 10.
  22. 22.Find the HCF of 6 and 21.
  23. 23.Find the HCF of 6 and 4.
  24. 24.Find the LCM of 4, 2 and 11.
  25. 25.Find the HCF of 52 and 91.
  26. 26.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  27. 27.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  28. 28.Find the LCM of 9 and 2.
  29. 29.Find the LCM of 3, 2 and 4.
  30. 30.Find the LCM of 3, 15 and 13.
  31. 31.Find the LCM of 13, 4 and 12.
  32. 32.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  33. 33.Find the LCM of 24 and 20.
  34. 34.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  35. 35.Find the HCF of 84 and 96.
  36. 36.Find the LCM of 5, 12 and 3.
  37. 37.Find the HCF of 8 and 12.
  38. 38.Find the HCF of 52 and 65.
  39. 39.Find the LCM of 13, 4 and 8.
  40. 40.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?

Answer key

  1. 48
  2. 14
  3. 120
  4. 195
  5. 36
  6. 40
  7. 24
  8. 3
  9. 15
  10. 60
  11. 56
  12. 168
  13. 14
  14. 12
  15. 3
  16. 130
  17. 10
  18. 140
  19. 40
  20. 30
  21. 5
  22. 3
  23. 2
  24. 44
  25. 13
  26. 8
  27. 30
  28. 18
  29. 12
  30. 195
  31. 156
  32. 8
  33. 120
  34. 18
  35. 12
  36. 60
  37. 4
  38. 13
  39. 104
  40. 81

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude