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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 528 · 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 8 and 5.
  2. 2.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  3. 3.Find the LCM of 4, 9 and 2.
  4. 4.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  5. 5.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  6. 6.Find the LCM of 14, 5 and 6.
  7. 7.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  8. 8.Find the LCM of 3, 15 and 10.
  9. 9.Find the LCM of 6, 4 and 15.
  10. 10.Find the HCF of 72 and 84.
  11. 11.Find the LCM of 20 and 45.
  12. 12.Find the HCF of 40 and 15.
  13. 13.Find the LCM of 8, 15 and 10.
  14. 14.Find the LCM of 4, 10 and 7.
  15. 15.Find the HCF of 9 and 6.
  16. 16.Find the LCM of 2, 11 and 8.
  17. 17.Find the LCM of 18 and 30.
  18. 18.Find the LCM of 15, 3 and 8.
  19. 19.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  20. 20.Find the LCM of 5, 6 and 15.
  21. 21.Find the LCM of 9, 10 and 2.
  22. 22.Find the LCM of 32 and 12.
  23. 23.Find the HCF of 91 and 52.
  24. 24.Find the LCM of 7, 3 and 5.
  25. 25.Find the LCM of 10, 12 and 8.
  26. 26.Find the LCM of 2, 14 and 12.
  27. 27.Find the HCF of 72 and 40.
  28. 28.Find the LCM of 3, 6 and 10.
  29. 29.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  30. 30.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  31. 31.Find the LCM of 12, 9 and 2.
  32. 32.Find the LCM of 8 and 3.
  33. 33.Find the HCF of 60 and 70.
  34. 34.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  35. 35.Find the LCM of 10 and 6.
  36. 36.Find the LCM of 8 and 7.
  37. 37.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  38. 38.Find the HCF of 25 and 30.
  39. 39.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  40. 40.Find the HCF of 84 and 48.

Answer key

  1. 40
  2. 14
  3. 36
  4. 36
  5. 8
  6. 210
  7. 45
  8. 30
  9. 60
  10. 12
  11. 180
  12. 5
  13. 120
  14. 140
  15. 3
  16. 88
  17. 90
  18. 120
  19. 10
  20. 30
  21. 90
  22. 96
  23. 13
  24. 105
  25. 120
  26. 84
  27. 8
  28. 30
  29. 27
  30. 20
  31. 36
  32. 24
  33. 10
  34. 18
  35. 30
  36. 56
  37. 10
  38. 5
  39. 54
  40. 12

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