← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 439 · 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 and 6.
  2. 2.Find the LCM of 12, 7 and 14.
  3. 3.Find the HCF of 6 and 9.
  4. 4.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 42. What is the other number?
  5. 5.Find the LCM of 24 and 54.
  6. 6.Find the LCM of 5, 6 and 7.
  7. 7.Find the LCM of 8 and 10.
  8. 8.Find the LCM of 11, 7 and 3.
  9. 9.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  10. 10.Find the LCM of 14 and 8.
  11. 11.Find the LCM of 5, 10 and 14.
  12. 12.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  13. 13.Find the LCM of 32 and 20.
  14. 14.Find the LCM of 7 and 6.
  15. 15.Find the LCM of 54 and 48.
  16. 16.Find the LCM of 10, 15 and 12.
  17. 17.Find the HCF of 75 and 90.
  18. 18.Find the LCM of 18 and 15.
  19. 19.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  20. 20.Find the HCF of 8 and 10.
  21. 21.Find the HCF of 117 and 91.
  22. 22.Find the HCF of 112 and 126.
  23. 23.Find the HCF of 135 and 30.
  24. 24.Find the HCF of 42 and 35.
  25. 25.Find the HCF of 81 and 63.
  26. 26.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 15. What is the other number?
  27. 27.Find the LCM of 4 and 3.
  28. 28.Find the LCM of 7, 10 and 3.
  29. 29.Find the LCM of 40 and 45.
  30. 30.Find the LCM of 6 and 4.
  31. 31.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  32. 32.Find the LCM of 5, 4 and 7.
  33. 33.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  34. 34.Find the HCF of 33 and 22.
  35. 35.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  36. 36.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  37. 37.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  38. 38.Find the LCM of 4 and 10.
  39. 39.Find the LCM of 6 and 10.
  40. 40.Find the HCF of 70 and 50.

Answer key

  1. 24
  2. 84
  3. 3
  4. 12
  5. 216
  6. 210
  7. 40
  8. 231
  9. 54
  10. 56
  11. 70
  12. 35
  13. 160
  14. 42
  15. 432
  16. 60
  17. 15
  18. 90
  19. 12
  20. 2
  21. 13
  22. 14
  23. 15
  24. 7
  25. 9
  26. 24
  27. 12
  28. 210
  29. 360
  30. 12
  31. 40
  32. 140
  33. 10
  34. 11
  35. 12
  36. 28
  37. 36
  38. 20
  39. 30
  40. 10

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