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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 468 · 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.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  2. 2.Find the LCM of 30 and 54.
  3. 3.Find the LCM of 11, 2 and 10.
  4. 4.Find the HCF of 45 and 10.
  5. 5.Find the LCM of 30 and 48.
  6. 6.Find the LCM of 8 and 6.
  7. 7.Find the LCM of 18 and 16.
  8. 8.Find the LCM of 5, 2 and 3.
  9. 9.Find the LCM of 36 and 28.
  10. 10.Find the LCM of 10, 8 and 2.
  11. 11.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  12. 12.Find the LCM of 10, 14 and 6.
  13. 13.Find the LCM of 21 and 6.
  14. 14.Find the LCM of 12 and 42.
  15. 15.Find the HCF of 105 and 60.
  16. 16.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  17. 17.Find the HCF of 14 and 21.
  18. 18.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  19. 19.Find the LCM of 32 and 28.
  20. 20.Find the LCM of 8 and 28.
  21. 21.Find the HCF of 26 and 117.
  22. 22.Find the LCM of 9, 4 and 10.
  23. 23.Find the LCM of 20 and 16.
  24. 24.Find the HCF of 6 and 4.
  25. 25.The HCF of two numbers is 4 and their LCM is 288. One of the numbers is 32. What is the other number?
  26. 26.Find the HCF of 65 and 104.
  27. 27.Find the LCM of 10, 15 and 6.
  28. 28.Find the LCM of 5, 15 and 14.
  29. 29.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  30. 30.Find the HCF of 60 and 135.
  31. 31.Find the LCM of 9, 4 and 5.
  32. 32.Find the HCF of 8 and 10.
  33. 33.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  34. 34.Find the HCF of 14 and 16.
  35. 35.Find the LCM of 12, 4 and 2.
  36. 36.Find the LCM of 9 and 2.
  37. 37.Find the LCM of 10 and 35.
  38. 38.Find the LCM of 10, 6 and 2.
  39. 39.Find the HCF of 45 and 35.
  40. 40.Find the LCM of 10 and 25.

Answer key

  1. 9
  2. 270
  3. 110
  4. 5
  5. 240
  6. 24
  7. 144
  8. 30
  9. 252
  10. 40
  11. 20
  12. 210
  13. 42
  14. 84
  15. 15
  16. 42
  17. 7
  18. 18
  19. 224
  20. 56
  21. 13
  22. 180
  23. 80
  24. 2
  25. 36
  26. 13
  27. 30
  28. 210
  29. 15
  30. 15
  31. 180
  32. 2
  33. 81
  34. 2
  35. 12
  36. 18
  37. 70
  38. 30
  39. 5
  40. 50

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