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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 76 · 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.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  3. 3.Find the LCM of 48 and 54.
  4. 4.Find the LCM of 18 and 15.
  5. 5.Find the LCM of 5, 3 and 8.
  6. 6.Find the HCF of 42 and 24.
  7. 7.Find the LCM of 16 and 10.
  8. 8.The HCF of two numbers is 6 and their LCM is 60. One of the numbers is 30. What is the other number?
  9. 9.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  10. 10.Find the LCM of 5, 2 and 12.
  11. 11.Find the LCM of 10, 8 and 3.
  12. 12.Find the LCM of 32 and 12.
  13. 13.Find the HCF of 30 and 48.
  14. 14.Find the HCF of 50 and 40.
  15. 15.Find the HCF of 32 and 36.
  16. 16.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  17. 17.Find the LCM of 11, 2 and 9.
  18. 18.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  19. 19.The HCF of two numbers is 6 and their LCM is 252. One of the numbers is 42. What is the other number?
  20. 20.Find the HCF of 45 and 54.
  21. 21.Find the LCM of 15 and 25.
  22. 22.Find the LCM of 20 and 36.
  23. 23.The HCF of two numbers is 8 and their LCM is 288. One of the numbers is 72. What is the other number?
  24. 24.Find the LCM of 10 and 4.
  25. 25.Find the LCM of 7, 15 and 3.
  26. 26.Find the LCM of 3 and 8.
  27. 27.Find the HCF of 15 and 35.
  28. 28.Find the HCF of 21 and 49.
  29. 29.Find the LCM of 3 and 7.
  30. 30.Find the HCF of 20 and 45.
  31. 31.Find the LCM of 3 and 5.
  32. 32.Find the LCM of 13, 12 and 4.
  33. 33.Find the LCM of 2, 15 and 7.
  34. 34.Find the HCF of 26 and 39.
  35. 35.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  36. 36.Find the LCM of 18 and 12.
  37. 37.Find the LCM of 5, 3 and 9.
  38. 38.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  39. 39.Find the LCM of 14 and 10.
  40. 40.Find the LCM of 16 and 20.

Answer key

  1. 9
  2. 64
  3. 432
  4. 90
  5. 120
  6. 6
  7. 80
  8. 12
  9. 32
  10. 60
  11. 120
  12. 96
  13. 6
  14. 10
  15. 4
  16. 18
  17. 198
  18. 6
  19. 36
  20. 9
  21. 75
  22. 180
  23. 32
  24. 20
  25. 105
  26. 24
  27. 5
  28. 7
  29. 21
  30. 5
  31. 15
  32. 156
  33. 210
  34. 13
  35. 14
  36. 36
  37. 45
  38. 72
  39. 70
  40. 80

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