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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 518 · 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 and 18.
  2. 2.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  3. 3.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  4. 4.Find the LCM of 2, 3 and 6.
  5. 5.Find the HCF of 105 and 30.
  6. 6.Find the LCM of 9, 2 and 3.
  7. 7.Find the LCM of 12 and 8.
  8. 8.Find the LCM of 2 and 3.
  9. 9.Find the LCM of 10, 12 and 15.
  10. 10.Find the LCM of 2 and 9.
  11. 11.Find the LCM of 15, 3 and 6.
  12. 12.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  13. 13.Find the LCM of 6, 9 and 14.
  14. 14.Find the HCF of 24 and 20.
  15. 15.Find the LCM of 4, 10 and 9.
  16. 16.Find the LCM of 4, 12 and 11.
  17. 17.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  18. 18.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  19. 19.Find the LCM of 15 and 27.
  20. 20.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  21. 21.Find the LCM of 5 and 4.
  22. 22.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  23. 23.Find the LCM of 35 and 10.
  24. 24.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  25. 25.Find the HCF of 64 and 24.
  26. 26.Find the HCF of 84 and 36.
  27. 27.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  28. 28.Find the LCM of 15 and 24.
  29. 29.Find the LCM of 8 and 14.
  30. 30.Find the HCF of 75 and 120.
  31. 31.Find the LCM of 8, 14 and 2.
  32. 32.Find the LCM of 13, 5 and 2.
  33. 33.Find the LCM of 5, 7 and 14.
  34. 34.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  35. 35.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  36. 36.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  37. 37.Find the LCM of 2, 8 and 10.
  38. 38.Find the LCM of 3 and 8.
  39. 39.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  40. 40.Find the HCF of 39 and 91.

Answer key

  1. 90
  2. 48
  3. 36
  4. 6
  5. 15
  6. 18
  7. 24
  8. 6
  9. 60
  10. 18
  11. 30
  12. 63
  13. 126
  14. 4
  15. 180
  16. 132
  17. 25
  18. 48
  19. 135
  20. 20
  21. 20
  22. 56
  23. 70
  24. 40
  25. 8
  26. 12
  27. 27
  28. 120
  29. 56
  30. 15
  31. 56
  32. 130
  33. 70
  34. 6
  35. 42
  36. 10
  37. 40
  38. 24
  39. 14
  40. 13

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