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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 280 · 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 10, 7 and 5.
  2. 2.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  3. 3.Find the LCM of 7 and 3.
  4. 4.Find the LCM of 9 and 4.
  5. 5.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 12. What is the other number?
  6. 6.Find the LCM of 27 and 15.
  7. 7.Find the LCM of 9 and 12.
  8. 8.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  9. 9.Find the LCM of 8, 2 and 3.
  10. 10.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  11. 11.Find the HCF of 96 and 60.
  12. 12.Find the LCM of 2, 14 and 10.
  13. 13.Find the LCM of 5, 6 and 15.
  14. 14.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  15. 15.Find the HCF of 15 and 9.
  16. 16.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  17. 17.Find the LCM of 9, 11 and 2.
  18. 18.Find the LCM of 8 and 9.
  19. 19.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  20. 20.Find the HCF of 15 and 18.
  21. 21.Find the LCM of 2, 9 and 4.
  22. 22.Find the LCM of 9 and 5.
  23. 23.Find the HCF of 10 and 18.
  24. 24.Find the HCF of 108 and 96.
  25. 25.Find the LCM of 28 and 20.
  26. 26.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  27. 27.Find the HCF of 42 and 54.
  28. 28.Find the LCM of 4 and 5.
  29. 29.Find the LCM of 30 and 12.
  30. 30.Find the LCM of 3, 2 and 11.
  31. 31.Find the LCM of 28 and 12.
  32. 32.Find the HCF of 6 and 14.
  33. 33.Find the LCM of 14, 5 and 6.
  34. 34.Find the HCF of 112 and 42.
  35. 35.Find the LCM of 12 and 14.
  36. 36.Find the LCM of 18 and 14.
  37. 37.Find the HCF of 117 and 91.
  38. 38.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 16 and 20.
  40. 40.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?

Answer key

  1. 70
  2. 15
  3. 21
  4. 36
  5. 32
  6. 135
  7. 36
  8. 25
  9. 24
  10. 28
  11. 12
  12. 70
  13. 30
  14. 36
  15. 3
  16. 21
  17. 198
  18. 72
  19. 27
  20. 3
  21. 36
  22. 45
  23. 2
  24. 12
  25. 140
  26. 24
  27. 6
  28. 20
  29. 60
  30. 66
  31. 84
  32. 2
  33. 210
  34. 14
  35. 84
  36. 126
  37. 13
  38. 15
  39. 80
  40. 20

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