← HCF and LCM lesson New set →

HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 82 · 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 4, 3 and 2.
  2. 2.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  3. 3.Find the LCM of 6 and 4.
  4. 4.Find the HCF of 15 and 35.
  5. 5.Find the HCF of 45 and 120.
  6. 6.Find the LCM of 8 and 10.
  7. 7.Find the LCM of 2, 5 and 9.
  8. 8.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  9. 9.Find the LCM of 5 and 7.
  10. 10.Find the LCM of 30 and 12.
  11. 11.Find the HCF of 12 and 18.
  12. 12.Find the LCM of 24 and 27.
  13. 13.Find the LCM of 28 and 32.
  14. 14.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  15. 15.Find the HCF of 18 and 45.
  16. 16.Find the HCF of 98 and 126.
  17. 17.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  18. 18.Find the LCM of 10 and 15.
  19. 19.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 8. What is the other number?
  20. 20.Find the HCF of 6 and 4.
  21. 21.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  22. 22.Find the HCF of 55 and 77.
  23. 23.Find the LCM of 10, 6 and 12.
  24. 24.Find the LCM of 4, 5 and 14.
  25. 25.Find the LCM of 5, 8 and 15.
  26. 26.Find the LCM of 7, 10 and 6.
  27. 27.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  28. 28.Find the HCF of 21 and 28.
  29. 29.Find the LCM of 10, 6 and 3.
  30. 30.Find the HCF of 45 and 30.
  31. 31.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  32. 32.Find the LCM of 14, 8 and 3.
  33. 33.Find the HCF of 36 and 20.
  34. 34.Find the LCM of 5, 6 and 4.
  35. 35.Find the LCM of 20 and 25.
  36. 36.Find the LCM of 3, 10 and 4.
  37. 37.Find the LCM of 10, 4 and 14.
  38. 38.Find the LCM of 3, 12 and 2.
  39. 39.Find the LCM of 2 and 3.
  40. 40.Find the HCF of 36 and 27.

Answer key

  1. 12
  2. 56
  3. 12
  4. 5
  5. 15
  6. 40
  7. 90
  8. 15
  9. 35
  10. 60
  11. 6
  12. 216
  13. 224
  14. 27
  15. 9
  16. 14
  17. 9
  18. 30
  19. 20
  20. 2
  21. 18
  22. 11
  23. 60
  24. 140
  25. 120
  26. 210
  27. 49
  28. 7
  29. 30
  30. 15
  31. 27
  32. 168
  33. 4
  34. 60
  35. 100
  36. 60
  37. 140
  38. 12
  39. 6
  40. 9

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