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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 740 · 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 42 and 18.
  2. 2.Find the LCM of 5 and 2.
  3. 3.Find the LCM of 12 and 28.
  4. 4.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  5. 5.Find the LCM of 18 and 14.
  6. 6.Find the LCM of 24 and 9.
  7. 7.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  8. 8.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  9. 9.Find the HCF of 42 and 18.
  10. 10.Find the LCM of 14, 7 and 4.
  11. 11.Find the LCM of 8 and 9.
  12. 12.Find the LCM of 35 and 30.
  13. 13.Find the HCF of 80 and 30.
  14. 14.Find the HCF of 35 and 45.
  15. 15.Find the LCM of 25 and 20.
  16. 16.Find the LCM of 9 and 24.
  17. 17.Find the HCF of 65 and 52.
  18. 18.Find the LCM of 2, 5 and 11.
  19. 19.Find the HCF of 70 and 50.
  20. 20.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  21. 21.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  22. 22.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  24. 24.Find the LCM of 7 and 9.
  25. 25.Find the LCM of 3 and 4.
  26. 26.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  27. 27.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 21. What is the other number?
  28. 28.Find the LCM of 4 and 6.
  29. 29.Find the LCM of 13, 3 and 4.
  30. 30.Find the LCM of 8, 2 and 11.
  31. 31.Find the LCM of 35 and 15.
  32. 32.Find the LCM of 2, 3 and 11.
  33. 33.Find the LCM of 2, 12 and 9.
  34. 34.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  35. 35.Find the LCM of 10, 3 and 5.
  36. 36.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  37. 37.Find the HCF of 70 and 40.
  38. 38.Find the LCM of 12, 7 and 3.
  39. 39.Find the LCM of 14 and 10.
  40. 40.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?

Answer key

  1. 126
  2. 10
  3. 84
  4. 24
  5. 126
  6. 72
  7. 36
  8. 14
  9. 6
  10. 28
  11. 72
  12. 210
  13. 10
  14. 5
  15. 100
  16. 72
  17. 13
  18. 110
  19. 10
  20. 49
  21. 48
  22. 18
  23. 36
  24. 63
  25. 12
  26. 25
  27. 24
  28. 12
  29. 156
  30. 88
  31. 105
  32. 66
  33. 36
  34. 35
  35. 30
  36. 18
  37. 10
  38. 84
  39. 70
  40. 20

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