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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 571 · 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 6 and 14.
  2. 2.Find the HCF of 21 and 6.
  3. 3.Find the HCF of 36 and 84.
  4. 4.Find the LCM of 30 and 24.
  5. 5.Find the LCM of 30 and 25.
  6. 6.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  7. 7.Find the HCF of 45 and 72.
  8. 8.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  9. 9.Find the LCM of 3, 11 and 4.
  10. 10.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 40. What is the other number?
  11. 11.Find the LCM of 5 and 7.
  12. 12.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 48. What is the other number?
  13. 13.Find the LCM of 27 and 6.
  14. 14.Find the LCM of 24 and 28.
  15. 15.Find the LCM of 5, 3 and 8.
  16. 16.Find the HCF of 16 and 20.
  17. 17.Find the LCM of 3, 4 and 5.
  18. 18.Find the HCF of 104 and 91.
  19. 19.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  20. 20.Find the HCF of 45 and 75.
  21. 21.Find the LCM of 2, 8 and 13.
  22. 22.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 72. What is the other number?
  23. 23.Find the HCF of 77 and 44.
  24. 24.Find the HCF of 28 and 21.
  25. 25.Find the HCF of 135 and 30.
  26. 26.Find the LCM of 10, 3 and 5.
  27. 27.Find the LCM of 4, 2 and 11.
  28. 28.Find the LCM of 20 and 25.
  29. 29.Find the LCM of 54 and 30.
  30. 30.Find the LCM of 30 and 42.
  31. 31.Find the LCM of 15, 10 and 9.
  32. 32.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  33. 33.Find the HCF of 28 and 16.
  34. 34.Find the LCM of 16 and 28.
  35. 35.Find the LCM of 24 and 42.
  36. 36.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  37. 37.Find the LCM of 11, 3 and 2.
  38. 38.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  39. 39.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  40. 40.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 6. What is the other number?

Answer key

  1. 42
  2. 3
  3. 12
  4. 120
  5. 150
  6. 72
  7. 9
  8. 63
  9. 132
  10. 16
  11. 35
  12. 42
  13. 54
  14. 168
  15. 120
  16. 4
  17. 60
  18. 13
  19. 16
  20. 15
  21. 104
  22. 16
  23. 11
  24. 7
  25. 15
  26. 30
  27. 44
  28. 100
  29. 270
  30. 210
  31. 90
  32. 40
  33. 4
  34. 112
  35. 168
  36. 40
  37. 66
  38. 24
  39. 18
  40. 16

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