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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 416 · 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.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  2. 2.Find the LCM of 30 and 24.
  3. 3.Find the LCM of 7, 2 and 10.
  4. 4.Find the LCM of 14 and 18.
  5. 5.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 35. What is the other number?
  6. 6.Find the LCM of 25 and 10.
  7. 7.Find the HCF of 20 and 12.
  8. 8.Find the LCM of 5 and 8.
  9. 9.Find the LCM of 15, 6 and 4.
  10. 10.Find the LCM of 3, 12 and 10.
  11. 11.Find the LCM of 9, 15 and 5.
  12. 12.Find the LCM of 2, 6 and 7.
  13. 13.Find the HCF of 21 and 6.
  14. 14.Find the LCM of 5 and 2.
  15. 15.Find the LCM of 30 and 12.
  16. 16.Find the LCM of 24 and 15.
  17. 17.Find the LCM of 8, 4 and 3.
  18. 18.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  19. 19.Find the LCM of 10 and 8.
  20. 20.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 14. What is the other number?
  21. 21.Find the HCF of 49 and 21.
  22. 22.Find the LCM of 9, 3 and 10.
  23. 23.Find the LCM of 15 and 27.
  24. 24.Find the HCF of 14 and 12.
  25. 25.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  26. 26.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  27. 27.The HCF of two numbers is 9 and their LCM is 135. One of the numbers is 45. What is the other number?
  28. 28.Find the HCF of 27 and 45.
  29. 29.Find the LCM of 28 and 24.
  30. 30.Find the LCM of 13, 5 and 3.
  31. 31.Find the LCM of 20 and 32.
  32. 32.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  33. 33.Find the HCF of 36 and 20.
  34. 34.Find the LCM of 12 and 54.
  35. 35.Find the LCM of 13, 3 and 5.
  36. 36.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  37. 37.Find the LCM of 2, 15 and 6.
  38. 38.Find the LCM of 5 and 4.
  39. 39.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  40. 40.Find the LCM of 13, 2 and 7.

Answer key

  1. 6
  2. 120
  3. 70
  4. 126
  5. 21
  6. 50
  7. 4
  8. 40
  9. 60
  10. 60
  11. 45
  12. 42
  13. 3
  14. 10
  15. 60
  16. 120
  17. 24
  18. 21
  19. 40
  20. 4
  21. 7
  22. 90
  23. 135
  24. 2
  25. 18
  26. 10
  27. 27
  28. 9
  29. 168
  30. 195
  31. 160
  32. 12
  33. 4
  34. 108
  35. 195
  36. 9
  37. 30
  38. 20
  39. 18
  40. 182

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