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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 442 · 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 36 and 28.
  2. 2.Find the LCM of 5, 13 and 15.
  3. 3.Find the LCM of 6, 5 and 3.
  4. 4.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 30. What is the other number?
  5. 5.Find the HCF of 30 and 25.
  6. 6.Find the LCM of 10, 5 and 12.
  7. 7.Find the LCM of 15 and 25.
  8. 8.Find the HCF of 105 and 135.
  9. 9.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 21. What is the other number?
  10. 10.Find the LCM of 16 and 10.
  11. 11.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  12. 12.Find the HCF of 36 and 42.
  13. 13.Find the LCM of 25 and 35.
  14. 14.Find the LCM of 9, 12 and 5.
  15. 15.Find the LCM of 12 and 18.
  16. 16.Find the HCF of 14 and 12.
  17. 17.Find the HCF of 12 and 16.
  18. 18.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  19. 19.Find the LCM of 6 and 10.
  20. 20.Find the LCM of 32 and 12.
  21. 21.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  22. 22.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 36. What is the other number?
  23. 23.Find the HCF of 105 and 75.
  24. 24.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  25. 25.Find the LCM of 24 and 20.
  26. 26.Find the HCF of 8 and 20.
  27. 27.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 12. What is the other number?
  28. 28.Find the LCM of 12 and 14.
  29. 29.Find the LCM of 36 and 42.
  30. 30.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  31. 31.Find the LCM of 14, 7 and 11.
  32. 32.Find the LCM of 4, 9 and 3.
  33. 33.Find the HCF of 70 and 126.
  34. 34.Find the HCF of 99 and 88.
  35. 35.Find the LCM of 20 and 28.
  36. 36.Find the HCF of 8 and 28.
  37. 37.Find the HCF of 18 and 63.
  38. 38.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  39. 39.Find the LCM of 12 and 32.
  40. 40.Find the LCM of 4, 10 and 11.

Answer key

  1. 252
  2. 195
  3. 30
  4. 42
  5. 5
  6. 60
  7. 75
  8. 15
  9. 12
  10. 80
  11. 9
  12. 6
  13. 175
  14. 180
  15. 36
  16. 2
  17. 4
  18. 35
  19. 30
  20. 96
  21. 15
  22. 28
  23. 15
  24. 63
  25. 120
  26. 4
  27. 30
  28. 84
  29. 252
  30. 72
  31. 154
  32. 36
  33. 14
  34. 11
  35. 140
  36. 4
  37. 9
  38. 12
  39. 96
  40. 220

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