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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 50 · 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, 2 and 4.
  2. 2.Find the LCM of 11, 6 and 4.
  3. 3.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  4. 4.Find the HCF of 12 and 21.
  5. 5.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  6. 6.Find the LCM of 12 and 9.
  7. 7.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  8. 8.Find the HCF of 42 and 48.
  9. 9.Find the HCF of 12 and 27.
  10. 10.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  11. 11.Find the LCM of 5, 15 and 10.
  12. 12.Find the HCF of 15 and 6.
  13. 13.Find the HCF of 60 and 84.
  14. 14.Find the LCM of 16 and 14.
  15. 15.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  16. 16.Find the LCM of 30 and 18.
  17. 17.Find the LCM of 8, 6 and 10.
  18. 18.Find the LCM of 7, 9 and 2.
  19. 19.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  20. 20.Find the LCM of 40 and 45.
  21. 21.Find the LCM of 12, 5 and 9.
  22. 22.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  23. 23.Find the HCF of 14 and 18.
  24. 24.Find the HCF of 30 and 20.
  25. 25.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  26. 26.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?
  27. 27.Find the LCM of 20 and 24.
  28. 28.Find the LCM of 3, 4 and 15.
  29. 29.Find the LCM of 10 and 8.
  30. 30.Find the HCF of 56 and 32.
  31. 31.Find the HCF of 16 and 24.
  32. 32.Find the LCM of 15 and 9.
  33. 33.Find the LCM of 20 and 32.
  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 15 and 12.
  36. 36.Find the LCM of 48 and 54.
  37. 37.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  38. 38.Find the HCF of 88 and 55.
  39. 39.Find the HCF of 126 and 28.
  40. 40.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?

Answer key

  1. 8
  2. 132
  3. 27
  4. 3
  5. 10
  6. 36
  7. 14
  8. 6
  9. 3
  10. 14
  11. 30
  12. 3
  13. 12
  14. 112
  15. 24
  16. 90
  17. 120
  18. 126
  19. 63
  20. 360
  21. 180
  22. 15
  23. 2
  24. 10
  25. 63
  26. 16
  27. 120
  28. 60
  29. 40
  30. 8
  31. 8
  32. 45
  33. 160
  34. 18
  35. 60
  36. 432
  37. 35
  38. 11
  39. 14
  40. 40

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