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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 723 · 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 24 and 18.
  2. 2.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  3. 3.Find the HCF of 14 and 18.
  4. 4.Find the HCF of 84 and 24.
  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 HCF of 35 and 30.
  7. 7.Find the HCF of 91 and 39.
  8. 8.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  9. 9.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  10. 10.Find the HCF of 117 and 65.
  11. 11.Find the LCM of 10, 12 and 3.
  12. 12.Find the LCM of 2, 3 and 11.
  13. 13.Find the LCM of 21 and 15.
  14. 14.Find the LCM of 15, 4 and 3.
  15. 15.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  16. 16.Find the LCM of 10, 5 and 3.
  17. 17.Find the HCF of 16 and 20.
  18. 18.Find the LCM of 6 and 16.
  19. 19.Find the LCM of 8, 4 and 12.
  20. 20.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  21. 21.Find the LCM of 14 and 4.
  22. 22.Find the LCM of 10, 8 and 4.
  23. 23.Find the LCM of 30 and 24.
  24. 24.Find the LCM of 4, 6 and 12.
  25. 25.Find the HCF of 45 and 120.
  26. 26.Find the LCM of 12 and 15.
  27. 27.Find the LCM of 8 and 3.
  28. 28.Find the HCF of 60 and 105.
  29. 29.Find the LCM of 54 and 42.
  30. 30.Find the LCM of 36 and 20.
  31. 31.Find the LCM of 3, 12 and 7.
  32. 32.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  33. 33.Find the LCM of 8, 5 and 12.
  34. 34.Find the LCM of 8, 6 and 7.
  35. 35.Find the LCM of 10 and 12.
  36. 36.Find the LCM of 14, 15 and 6.
  37. 37.Find the LCM of 9, 6 and 13.
  38. 38.Find the LCM of 6, 13 and 9.
  39. 39.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 18. What is the other number?
  40. 40.Find the LCM of 2, 13 and 3.

Answer key

  1. 72
  2. 30
  3. 2
  4. 12
  5. 21
  6. 5
  7. 13
  8. 18
  9. 9
  10. 13
  11. 60
  12. 66
  13. 105
  14. 60
  15. 12
  16. 30
  17. 4
  18. 48
  19. 24
  20. 15
  21. 28
  22. 40
  23. 120
  24. 12
  25. 15
  26. 60
  27. 24
  28. 15
  29. 378
  30. 180
  31. 84
  32. 15
  33. 120
  34. 168
  35. 60
  36. 210
  37. 234
  38. 234
  39. 12
  40. 78

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