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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 242 · 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 45. One of the numbers is 15. What is the other number?
  2. 2.Find the HCF of 24 and 84.
  3. 3.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  4. 4.Find the LCM of 8, 2 and 15.
  5. 5.Find the HCF of 77 and 99.
  6. 6.Find the HCF of 70 and 50.
  7. 7.Find the LCM of 3, 9 and 2.
  8. 8.Find the HCF of 55 and 66.
  9. 9.Find the LCM of 8, 3 and 14.
  10. 10.Find the LCM of 9, 6 and 5.
  11. 11.Find the LCM of 3, 12 and 6.
  12. 12.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  13. 13.Find the LCM of 10 and 35.
  14. 14.Find the HCF of 48 and 18.
  15. 15.Find the LCM of 14 and 6.
  16. 16.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  17. 17.Find the HCF of 48 and 54.
  18. 18.Find the HCF of 60 and 105.
  19. 19.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  20. 20.Find the HCF of 60 and 84.
  21. 21.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  22. 22.Find the LCM of 12 and 27.
  23. 23.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  24. 24.Find the LCM of 11, 4 and 12.
  25. 25.Find the HCF of 42 and 28.
  26. 26.Find the LCM of 9 and 24.
  27. 27.Find the LCM of 13, 12 and 3.
  28. 28.Find the LCM of 11, 4 and 2.
  29. 29.Find the LCM of 10, 15 and 6.
  30. 30.Find the LCM of 10, 14 and 7.
  31. 31.Find the LCM of 28 and 12.
  32. 32.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  33. 33.Find the LCM of 3, 12 and 7.
  34. 34.Find the LCM of 9, 11 and 2.
  35. 35.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  36. 36.Find the HCF of 88 and 77.
  37. 37.Find the LCM of 10, 3 and 9.
  38. 38.Find the LCM of 24 and 27.
  39. 39.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  40. 40.Find the LCM of 6, 3 and 9.

Answer key

  1. 9
  2. 12
  3. 16
  4. 120
  5. 11
  6. 10
  7. 18
  8. 11
  9. 168
  10. 90
  11. 12
  12. 6
  13. 70
  14. 6
  15. 42
  16. 25
  17. 6
  18. 15
  19. 45
  20. 12
  21. 42
  22. 108
  23. 16
  24. 132
  25. 14
  26. 72
  27. 156
  28. 44
  29. 30
  30. 70
  31. 84
  32. 28
  33. 84
  34. 198
  35. 56
  36. 11
  37. 90
  38. 216
  39. 16
  40. 18

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