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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 744 · 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 2, 4 and 15.
  2. 2.Find the HCF of 63 and 36.
  3. 3.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  4. 4.Find the HCF of 18 and 12.
  5. 5.Find the HCF of 8 and 20.
  6. 6.Find the LCM of 40 and 35.
  7. 7.Find the LCM of 12 and 28.
  8. 8.Find the HCF of 14 and 6.
  9. 9.Find the HCF of 75 and 30.
  10. 10.Find the LCM of 7, 15 and 3.
  11. 11.Find the LCM of 5 and 6.
  12. 12.Find the LCM of 7, 5 and 2.
  13. 13.Find the LCM of 4 and 6.
  14. 14.Find the LCM of 20 and 24.
  15. 15.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  16. 16.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  17. 17.Find the LCM of 9 and 21.
  18. 18.Find the HCF of 120 and 75.
  19. 19.Find the HCF of 27 and 21.
  20. 20.Find the HCF of 91 and 65.
  21. 21.Find the LCM of 6, 8 and 3.
  22. 22.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  23. 23.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  24. 24.Find the HCF of 20 and 35.
  25. 25.Find the LCM of 24 and 18.
  26. 26.Find the LCM of 6 and 8.
  27. 27.Find the HCF of 55 and 66.
  28. 28.Find the LCM of 2, 6 and 4.
  29. 29.Find the LCM of 9 and 8.
  30. 30.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  31. 31.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  32. 32.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  33. 33.Find the HCF of 30 and 18.
  34. 34.Find the HCF of 45 and 120.
  35. 35.Find the LCM of 21 and 9.
  36. 36.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  37. 37.Find the LCM of 15, 7 and 2.
  38. 38.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  39. 39.Find the LCM of 12 and 14.
  40. 40.Find the HCF of 42 and 98.

Answer key

  1. 60
  2. 9
  3. 72
  4. 6
  5. 4
  6. 280
  7. 84
  8. 2
  9. 15
  10. 105
  11. 30
  12. 70
  13. 12
  14. 120
  15. 63
  16. 12
  17. 63
  18. 15
  19. 3
  20. 13
  21. 24
  22. 42
  23. 6
  24. 5
  25. 72
  26. 24
  27. 11
  28. 12
  29. 72
  30. 25
  31. 12
  32. 45
  33. 6
  34. 15
  35. 63
  36. 24
  37. 210
  38. 63
  39. 84
  40. 14

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