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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 381 · 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 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  2. 2.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  3. 3.Find the HCF of 49 and 63.
  4. 4.Find the LCM of 15 and 21.
  5. 5.Find the LCM of 14, 15 and 5.
  6. 6.Find the LCM of 12 and 30.
  7. 7.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  8. 8.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  9. 9.Find the LCM of 4, 6 and 12.
  10. 10.Find the LCM of 21 and 24.
  11. 11.Find the LCM of 16 and 18.
  12. 12.Find the LCM of 8, 5 and 10.
  13. 13.Find the LCM of 6, 3 and 7.
  14. 14.Find the LCM of 5, 2 and 13.
  15. 15.Find the LCM of 21 and 6.
  16. 16.Find the LCM of 15 and 10.
  17. 17.Find the LCM of 12 and 10.
  18. 18.Find the HCF of 15 and 10.
  19. 19.Find the LCM of 36 and 16.
  20. 20.Find the LCM of 42 and 54.
  21. 21.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  22. 22.Find the LCM of 2, 15 and 8.
  23. 23.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  24. 24.Find the HCF of 63 and 49.
  25. 25.Find the LCM of 9, 2 and 5.
  26. 26.Find the LCM of 2, 4 and 5.
  27. 27.Find the LCM of 4 and 9.
  28. 28.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  29. 29.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  30. 30.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  31. 31.Find the LCM of 45 and 35.
  32. 32.Find the HCF of 40 and 16.
  33. 33.Find the HCF of 12 and 21.
  34. 34.The HCF of two numbers is 2 and their LCM is 56. One of the numbers is 14. What is the other number?
  35. 35.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  36. 36.Find the LCM of 24 and 9.
  37. 37.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 9. What is the other number?
  38. 38.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  39. 39.Find the LCM of 18 and 12.
  40. 40.Find the LCM of 21 and 12.

Answer key

  1. 20
  2. 4
  3. 7
  4. 105
  5. 210
  6. 60
  7. 15
  8. 81
  9. 12
  10. 168
  11. 144
  12. 40
  13. 42
  14. 130
  15. 42
  16. 30
  17. 60
  18. 5
  19. 144
  20. 378
  21. 63
  22. 120
  23. 36
  24. 7
  25. 90
  26. 20
  27. 36
  28. 9
  29. 14
  30. 54
  31. 315
  32. 8
  33. 3
  34. 8
  35. 72
  36. 72
  37. 21
  38. 9
  39. 36
  40. 84

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