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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 626 · 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 8, 11 and 2.
  2. 2.Find the LCM of 12, 13 and 4.
  3. 3.Find the LCM of 2, 15 and 14.
  4. 4.Find the HCF of 36 and 63.
  5. 5.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  6. 6.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  7. 7.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  8. 8.Find the LCM of 9, 3 and 15.
  9. 9.Find the HCF of 60 and 36.
  10. 10.Find the LCM of 15, 13 and 3.
  11. 11.Find the LCM of 12, 5 and 15.
  12. 12.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  13. 13.Find the HCF of 25 and 30.
  14. 14.Find the HCF of 40 and 30.
  15. 15.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  16. 16.Find the LCM of 6 and 15.
  17. 17.Find the LCM of 27 and 21.
  18. 18.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  19. 19.Find the LCM of 10, 5 and 6.
  20. 20.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  21. 21.Find the LCM of 5, 13 and 15.
  22. 22.Find the LCM of 2 and 9.
  23. 23.Find the HCF of 32 and 20.
  24. 24.Find the LCM of 2, 9 and 6.
  25. 25.Find the LCM of 2 and 3.
  26. 26.Find the LCM of 7 and 6.
  27. 27.Find the HCF of 108 and 24.
  28. 28.Find the LCM of 35 and 30.
  29. 29.Find the HCF of 42 and 70.
  30. 30.Find the LCM of 4, 3 and 2.
  31. 31.Find the LCM of 2, 5 and 10.
  32. 32.Find the LCM of 5, 8 and 12.
  33. 33.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  34. 34.Find the LCM of 10 and 8.
  35. 35.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  36. 36.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  37. 37.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  38. 38.Find the LCM of 36 and 8.
  39. 39.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 28. What is the other number?
  40. 40.Find the HCF of 98 and 56.

Answer key

  1. 88
  2. 156
  3. 210
  4. 9
  5. 6
  6. 25
  7. 27
  8. 45
  9. 12
  10. 195
  11. 60
  12. 27
  13. 5
  14. 10
  15. 27
  16. 30
  17. 189
  18. 20
  19. 30
  20. 12
  21. 195
  22. 18
  23. 4
  24. 18
  25. 6
  26. 42
  27. 12
  28. 210
  29. 14
  30. 12
  31. 10
  32. 120
  33. 18
  34. 40
  35. 25
  36. 24
  37. 63
  38. 72
  39. 35
  40. 14

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