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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 58 · 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, 6 and 12.
  2. 2.Find the HCF of 33 and 55.
  3. 3.Find the HCF of 96 and 84.
  4. 4.Find the LCM of 9, 8 and 4.
  5. 5.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  6. 6.Find the HCF of 42 and 12.
  7. 7.Find the LCM of 8, 15 and 5.
  8. 8.Find the LCM of 10 and 6.
  9. 9.Find the HCF of 81 and 72.
  10. 10.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  11. 11.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  12. 12.Find the LCM of 5, 4 and 3.
  13. 13.Find the LCM of 12 and 30.
  14. 14.Find the LCM of 8 and 12.
  15. 15.Find the LCM of 12, 9 and 3.
  16. 16.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  17. 17.Find the LCM of 5, 4 and 9.
  18. 18.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  19. 19.Find the HCF of 26 and 91.
  20. 20.Find the LCM of 5 and 2.
  21. 21.Find the LCM of 12, 2 and 3.
  22. 22.Find the LCM of 10, 8 and 4.
  23. 23.Find the LCM of 40 and 35.
  24. 24.Find the HCF of 8 and 28.
  25. 25.Find the LCM of 2, 9 and 13.
  26. 26.Find the LCM of 2, 9 and 10.
  27. 27.Find the LCM of 4, 8 and 15.
  28. 28.Find the LCM of 15, 2 and 5.
  29. 29.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  30. 30.Find the LCM of 8, 11 and 2.
  31. 31.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  32. 32.Find the LCM of 7 and 9.
  33. 33.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  34. 34.Find the LCM of 2, 5 and 15.
  35. 35.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  36. 36.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  37. 37.Find the LCM of 18 and 24.
  38. 38.Find the LCM of 6 and 9.
  39. 39.Find the LCM of 12 and 14.
  40. 40.Find the LCM of 40 and 15.

Answer key

  1. 12
  2. 11
  3. 12
  4. 72
  5. 56
  6. 6
  7. 120
  8. 30
  9. 9
  10. 12
  11. 36
  12. 60
  13. 60
  14. 24
  15. 36
  16. 10
  17. 180
  18. 16
  19. 13
  20. 10
  21. 12
  22. 40
  23. 280
  24. 4
  25. 234
  26. 90
  27. 120
  28. 30
  29. 15
  30. 88
  31. 35
  32. 63
  33. 6
  34. 30
  35. 63
  36. 18
  37. 72
  38. 18
  39. 84
  40. 120

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