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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 637 · 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 3 and 8.
  2. 2.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  3. 3.Find the LCM of 2, 5 and 3.
  4. 4.Find the HCF of 70 and 28.
  5. 5.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 45. What is the other number?
  6. 6.Find the HCF of 120 and 45.
  7. 7.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 9. What is the other number?
  8. 8.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  9. 9.Find the LCM of 4, 11 and 12.
  10. 10.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 8. What is the other number?
  11. 11.Find the HCF of 6 and 4.
  12. 12.Find the HCF of 18 and 48.
  13. 13.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  14. 14.Find the LCM of 5 and 9.
  15. 15.Find the HCF of 72 and 84.
  16. 16.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  17. 17.Find the LCM of 15 and 40.
  18. 18.Find the LCM of 14 and 6.
  19. 19.Find the LCM of 12, 4 and 2.
  20. 20.Find the LCM of 7 and 6.
  21. 21.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 21. What is the other number?
  22. 22.Find the HCF of 8 and 28.
  23. 23.Find the LCM of 12 and 32.
  24. 24.Find the LCM of 15, 13 and 5.
  25. 25.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  26. 26.Find the LCM of 18 and 42.
  27. 27.Find the HCF of 50 and 90.
  28. 28.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  29. 29.Find the LCM of 32 and 36.
  30. 30.Find the LCM of 6, 14 and 15.
  31. 31.Find the LCM of 14 and 4.
  32. 32.Find the LCM of 2, 12 and 15.
  33. 33.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  34. 34.Find the HCF of 36 and 8.
  35. 35.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  36. 36.Find the HCF of 20 and 50.
  37. 37.Find the HCF of 36 and 42.
  38. 38.Find the LCM of 7, 14 and 13.
  39. 39.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  40. 40.Find the HCF of 104 and 117.

Answer key

  1. 24
  2. 20
  3. 30
  4. 14
  5. 72
  6. 15
  7. 15
  8. 35
  9. 132
  10. 12
  11. 2
  12. 6
  13. 9
  14. 45
  15. 12
  16. 16
  17. 120
  18. 42
  19. 12
  20. 42
  21. 6
  22. 4
  23. 96
  24. 195
  25. 8
  26. 126
  27. 10
  28. 24
  29. 288
  30. 210
  31. 28
  32. 60
  33. 18
  34. 4
  35. 18
  36. 10
  37. 6
  38. 182
  39. 8
  40. 13

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