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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 351 · 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, 13 and 4.
  2. 2.Find the LCM of 54 and 42.
  3. 3.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  4. 4.Find the HCF of 108 and 84.
  5. 5.Find the LCM of 9 and 21.
  6. 6.Find the HCF of 70 and 42.
  7. 7.Find the LCM of 5, 8 and 4.
  8. 8.Find the HCF of 35 and 28.
  9. 9.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  10. 10.Find the HCF of 75 and 135.
  11. 11.Find the HCF of 20 and 30.
  12. 12.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  13. 13.Find the HCF of 15 and 21.
  14. 14.Find the LCM of 35 and 45.
  15. 15.The HCF of two numbers is 3 and their LCM is 42. One of the numbers is 6. What is the other number?
  16. 16.Find the HCF of 24 and 15.
  17. 17.Find the HCF of 40 and 24.
  18. 18.Find the HCF of 12 and 28.
  19. 19.Find the LCM of 5, 14 and 10.
  20. 20.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?
  21. 21.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  22. 22.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  23. 23.Find the LCM of 24 and 15.
  24. 24.Find the LCM of 15, 12 and 4.
  25. 25.Find the LCM of 36 and 8.
  26. 26.Find the HCF of 126 and 28.
  27. 27.Find the LCM of 42 and 30.
  28. 28.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 8. What is the other number?
  29. 29.Find the LCM of 11, 2 and 7.
  30. 30.Find the LCM of 15, 5 and 10.
  31. 31.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  32. 32.Find the LCM of 5, 10 and 11.
  33. 33.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  34. 34.Find the LCM of 10, 15 and 3.
  35. 35.Find the HCF of 18 and 8.
  36. 36.Find the LCM of 15 and 20.
  37. 37.Find the LCM of 24 and 42.
  38. 38.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  39. 39.Find the LCM of 2 and 3.
  40. 40.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?

Answer key

  1. 104
  2. 378
  3. 10
  4. 12
  5. 63
  6. 14
  7. 40
  8. 7
  9. 20
  10. 15
  11. 10
  12. 12
  13. 3
  14. 315
  15. 21
  16. 3
  17. 8
  18. 4
  19. 70
  20. 81
  21. 25
  22. 64
  23. 120
  24. 60
  25. 72
  26. 14
  27. 210
  28. 10
  29. 154
  30. 30
  31. 14
  32. 110
  33. 16
  34. 30
  35. 2
  36. 60
  37. 168
  38. 14
  39. 6
  40. 21

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