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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 549 · 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 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  2. 2.Find the LCM of 15 and 9.
  3. 3.Find the LCM of 10 and 18.
  4. 4.Find the HCF of 135 and 105.
  5. 5.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  6. 6.Find the HCF of 30 and 45.
  7. 7.Find the LCM of 14 and 6.
  8. 8.Find the HCF of 15 and 9.
  9. 9.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  10. 10.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  11. 11.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  12. 12.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 36. What is the other number?
  13. 13.Find the LCM of 11, 2 and 4.
  14. 14.Find the LCM of 35 and 40.
  15. 15.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  16. 16.Find the HCF of 105 and 90.
  17. 17.Find the LCM of 15, 2 and 5.
  18. 18.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  19. 19.Find the HCF of 24 and 32.
  20. 20.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  21. 21.Find the LCM of 12, 15 and 9.
  22. 22.Find the HCF of 96 and 36.
  23. 23.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  24. 24.Find the HCF of 36 and 48.
  25. 25.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  26. 26.Find the LCM of 4 and 10.
  27. 27.Find the LCM of 2, 6 and 11.
  28. 28.Find the LCM of 25 and 35.
  29. 29.Find the HCF of 15 and 24.
  30. 30.Find the HCF of 30 and 12.
  31. 31.Find the LCM of 32 and 20.
  32. 32.Find the LCM of 12 and 30.
  33. 33.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  34. 34.Find the HCF of 20 and 36.
  35. 35.Find the HCF of 63 and 35.
  36. 36.Find the HCF of 21 and 24.
  37. 37.Find the LCM of 20 and 28.
  38. 38.Find the LCM of 8, 5 and 10.
  39. 39.Find the LCM of 8, 2 and 4.
  40. 40.Find the LCM of 42 and 48.

Answer key

  1. 24
  2. 45
  3. 90
  4. 15
  5. 28
  6. 15
  7. 42
  8. 3
  9. 63
  10. 8
  11. 21
  12. 16
  13. 44
  14. 280
  15. 12
  16. 15
  17. 30
  18. 30
  19. 8
  20. 63
  21. 180
  22. 12
  23. 49
  24. 12
  25. 20
  26. 20
  27. 66
  28. 175
  29. 3
  30. 6
  31. 160
  32. 60
  33. 10
  34. 4
  35. 7
  36. 3
  37. 140
  38. 40
  39. 8
  40. 336

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