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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 130 · 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 5, 13 and 15.
  2. 2.Find the LCM of 15, 13 and 3.
  3. 3.Find the LCM of 25 and 10.
  4. 4.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  5. 5.Find the LCM of 4, 9 and 2.
  6. 6.Find the LCM of 5, 2 and 13.
  7. 7.Find the HCF of 30 and 50.
  8. 8.Find the LCM of 12 and 14.
  9. 9.Find the HCF of 25 and 30.
  10. 10.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 72. What is the other number?
  11. 11.Find the HCF of 117 and 65.
  12. 12.Find the LCM of 35 and 20.
  13. 13.Find the HCF of 36 and 63.
  14. 14.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  15. 15.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  16. 16.Find the HCF of 48 and 40.
  17. 17.Find the LCM of 4, 7 and 3.
  18. 18.Find the HCF of 105 and 60.
  19. 19.Find the HCF of 21 and 14.
  20. 20.Find the LCM of 10, 4 and 7.
  21. 21.Find the LCM of 42 and 12.
  22. 22.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  23. 23.Find the HCF of 48 and 30.
  24. 24.Find the HCF of 18 and 21.
  25. 25.Find the HCF of 56 and 35.
  26. 26.Find the LCM of 21 and 15.
  27. 27.Find the LCM of 25 and 15.
  28. 28.Find the HCF of 50 and 90.
  29. 29.Find the LCM of 40 and 25.
  30. 30.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  31. 31.Find the LCM of 35 and 10.
  32. 32.Find the HCF of 35 and 28.
  33. 33.Find the LCM of 14, 4 and 6.
  34. 34.Find the LCM of 6, 9 and 12.
  35. 35.Find the LCM of 5, 9 and 3.
  36. 36.Find the HCF of 70 and 112.
  37. 37.Find the LCM of 18 and 42.
  38. 38.Find the LCM of 14, 6 and 4.
  39. 39.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  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. 195
  2. 195
  3. 50
  4. 54
  5. 36
  6. 130
  7. 10
  8. 84
  9. 5
  10. 56
  11. 13
  12. 140
  13. 9
  14. 30
  15. 40
  16. 8
  17. 84
  18. 15
  19. 7
  20. 140
  21. 84
  22. 48
  23. 6
  24. 3
  25. 7
  26. 105
  27. 75
  28. 10
  29. 200
  30. 42
  31. 70
  32. 7
  33. 84
  34. 36
  35. 45
  36. 14
  37. 126
  38. 84
  39. 24
  40. 21

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