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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 552 · 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 18. One of the numbers is 6. What is the other number?
  2. 2.Find the HCF of 36 and 63.
  3. 3.Find the HCF of 72 and 84.
  4. 4.Find the HCF of 4 and 6.
  5. 5.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  6. 6.Find the LCM of 20 and 15.
  7. 7.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  8. 8.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  9. 9.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  10. 10.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  11. 11.Find the HCF of 40 and 45.
  12. 12.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  13. 13.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  14. 14.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  15. 15.Find the LCM of 28 and 20.
  16. 16.Find the LCM of 12, 15 and 10.
  17. 17.Find the LCM of 16 and 36.
  18. 18.Find the HCF of 63 and 45.
  19. 19.Find the LCM of 11, 2 and 3.
  20. 20.Find the LCM of 7, 4 and 10.
  21. 21.Find the LCM of 3 and 2.
  22. 22.Find the HCF of 39 and 65.
  23. 23.Find the HCF of 39 and 104.
  24. 24.Find the LCM of 6 and 4.
  25. 25.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  26. 26.Find the LCM of 3 and 5.
  27. 27.Find the LCM of 30 and 25.
  28. 28.Find the LCM of 14, 2 and 6.
  29. 29.Find the HCF of 48 and 36.
  30. 30.Find the LCM of 12, 13 and 6.
  31. 31.Find the LCM of 12, 4 and 14.
  32. 32.Find the HCF of 35 and 25.
  33. 33.Find the LCM of 25 and 15.
  34. 34.Find the HCF of 45 and 27.
  35. 35.Find the HCF of 96 and 36.
  36. 36.Find the LCM of 20 and 8.
  37. 37.Find the LCM of 21 and 18.
  38. 38.Find the LCM of 15 and 6.
  39. 39.Find the LCM of 10 and 12.
  40. 40.Find the LCM of 9, 14 and 3.

Answer key

  1. 9
  2. 9
  3. 12
  4. 2
  5. 72
  6. 60
  7. 16
  8. 48
  9. 16
  10. 42
  11. 5
  12. 9
  13. 42
  14. 16
  15. 140
  16. 60
  17. 144
  18. 9
  19. 66
  20. 140
  21. 6
  22. 13
  23. 13
  24. 12
  25. 24
  26. 15
  27. 150
  28. 42
  29. 12
  30. 156
  31. 84
  32. 5
  33. 75
  34. 9
  35. 12
  36. 40
  37. 126
  38. 30
  39. 60
  40. 126

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