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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 125 · 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 16 and 18.
  2. 2.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  3. 3.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  4. 4.Find the LCM of 15 and 20.
  5. 5.Find the LCM of 9, 6 and 7.
  6. 6.Find the HCF of 14 and 10.
  7. 7.Find the LCM of 32 and 28.
  8. 8.Find the LCM of 6, 7 and 15.
  9. 9.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 10. What is the other number?
  10. 10.Find the HCF of 108 and 60.
  11. 11.The HCF of two numbers is 9 and their LCM is 324. One of the numbers is 36. What is the other number?
  12. 12.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  13. 13.Find the LCM of 9, 15 and 10.
  14. 14.Find the LCM of 5, 3 and 7.
  15. 15.Find the LCM of 5, 14 and 10.
  16. 16.Find the LCM of 12, 13 and 2.
  17. 17.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 36. What is the other number?
  18. 18.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  19. 19.Find the HCF of 20 and 12.
  20. 20.Find the LCM of 36 and 42.
  21. 21.Find the LCM of 10, 4 and 3.
  22. 22.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  23. 23.Find the LCM of 48 and 30.
  24. 24.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 27. What is the other number?
  25. 25.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  26. 26.Find the HCF of 56 and 48.
  27. 27.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  28. 28.Find the HCF of 49 and 63.
  29. 29.Find the LCM of 9, 5 and 12.
  30. 30.Find the LCM of 16 and 14.
  31. 31.Find the LCM of 14 and 6.
  32. 32.Find the LCM of 15, 4 and 6.
  33. 33.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  34. 34.Find the HCF of 24 and 42.
  35. 35.Find the LCM of 8 and 28.
  36. 36.Find the HCF of 42 and 56.
  37. 37.Find the HCF of 42 and 28.
  38. 38.Find the HCF of 105 and 45.
  39. 39.Find the LCM of 3, 6 and 14.
  40. 40.Find the LCM of 40 and 25.

Answer key

  1. 144
  2. 45
  3. 6
  4. 60
  5. 126
  6. 2
  7. 224
  8. 210
  9. 12
  10. 12
  11. 81
  12. 16
  13. 90
  14. 105
  15. 70
  16. 156
  17. 42
  18. 18
  19. 4
  20. 252
  21. 60
  22. 36
  23. 240
  24. 21
  25. 28
  26. 8
  27. 35
  28. 7
  29. 180
  30. 112
  31. 42
  32. 60
  33. 6
  34. 6
  35. 56
  36. 14
  37. 14
  38. 15
  39. 42
  40. 200

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