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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 102 · 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 HCF of 91 and 65.
  2. 2.The HCF of two numbers is 3 and their LCM is 135. One of the numbers is 27. What is the other number?
  3. 3.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  4. 4.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  5. 5.Find the LCM of 24 and 20.
  6. 6.Find the LCM of 12 and 8.
  7. 7.Find the LCM of 7, 5 and 2.
  8. 8.Find the LCM of 35 and 15.
  9. 9.Find the LCM of 9 and 2.
  10. 10.Find the LCM of 9 and 15.
  11. 11.Find the HCF of 117 and 65.
  12. 12.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  13. 13.Find the LCM of 15, 6 and 9.
  14. 14.Find the LCM of 2, 10 and 11.
  15. 15.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  16. 16.Find the HCF of 105 and 120.
  17. 17.Find the LCM of 11, 2 and 3.
  18. 18.Find the LCM of 30 and 35.
  19. 19.Find the HCF of 6 and 4.
  20. 20.Find the LCM of 13, 3 and 6.
  21. 21.Find the LCM of 42 and 54.
  22. 22.Find the LCM of 4, 5 and 12.
  23. 23.Find the LCM of 3, 2 and 15.
  24. 24.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  25. 25.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  26. 26.Find the HCF of 99 and 22.
  27. 27.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  28. 28.Find the HCF of 77 and 88.
  29. 29.Find the HCF of 39 and 26.
  30. 30.Find the HCF of 63 and 54.
  31. 31.Find the LCM of 12, 15 and 4.
  32. 32.Find the LCM of 2, 10 and 13.
  33. 33.Find the LCM of 12, 3 and 15.
  34. 34.Find the LCM of 9, 10 and 4.
  35. 35.Find the LCM of 4 and 14.
  36. 36.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  37. 37.Find the LCM of 9, 6 and 5.
  38. 38.Find the LCM of 9, 5 and 2.
  39. 39.Find the LCM of 36 and 28.
  40. 40.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?

Answer key

  1. 13
  2. 15
  3. 20
  4. 21
  5. 120
  6. 24
  7. 70
  8. 105
  9. 18
  10. 45
  11. 13
  12. 30
  13. 90
  14. 110
  15. 16
  16. 15
  17. 66
  18. 210
  19. 2
  20. 78
  21. 378
  22. 60
  23. 30
  24. 24
  25. 30
  26. 11
  27. 15
  28. 11
  29. 13
  30. 9
  31. 60
  32. 130
  33. 60
  34. 180
  35. 28
  36. 21
  37. 90
  38. 90
  39. 252
  40. 8

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