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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 250 · 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 160. One of the numbers is 32. What is the other number?
  2. 2.Find the LCM of 4, 3 and 6.
  3. 3.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  4. 4.Find the LCM of 13, 4 and 2.
  5. 5.Find the LCM of 8, 7 and 2.
  6. 6.Find the LCM of 5, 12 and 8.
  7. 7.Find the LCM of 9, 3 and 5.
  8. 8.Find the HCF of 16 and 6.
  9. 9.Find the LCM of 2, 10 and 5.
  10. 10.Find the LCM of 21 and 12.
  11. 11.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  12. 12.Find the LCM of 8, 4 and 5.
  13. 13.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  14. 14.Find the LCM of 9 and 2.
  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 32 and 36.
  17. 17.Find the HCF of 72 and 40.
  18. 18.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  19. 19.Find the LCM of 2, 4 and 5.
  20. 20.Find the HCF of 15 and 35.
  21. 21.Find the LCM of 15 and 40.
  22. 22.Find the LCM of 2, 12 and 11.
  23. 23.Find the HCF of 50 and 30.
  24. 24.Find the LCM of 4, 5 and 3.
  25. 25.Find the LCM of 16 and 12.
  26. 26.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 35. What is the other number?
  27. 27.Find the HCF of 14 and 10.
  28. 28.Find the HCF of 12 and 9.
  29. 29.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  30. 30.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  31. 31.Find the LCM of 25 and 10.
  32. 32.Find the LCM of 7, 2 and 3.
  33. 33.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  34. 34.Find the LCM of 5 and 9.
  35. 35.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  36. 36.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 8. What is the other number?
  37. 37.Find the LCM of 10, 2 and 4.
  38. 38.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  39. 39.Find the HCF of 16 and 18.
  40. 40.Find the LCM of 5, 13 and 10.

Answer key

  1. 40
  2. 12
  3. 14
  4. 52
  5. 56
  6. 120
  7. 45
  8. 2
  9. 10
  10. 84
  11. 45
  12. 40
  13. 25
  14. 18
  15. 21
  16. 4
  17. 8
  18. 6
  19. 20
  20. 5
  21. 120
  22. 132
  23. 10
  24. 60
  25. 48
  26. 25
  27. 2
  28. 3
  29. 12
  30. 20
  31. 50
  32. 42
  33. 12
  34. 45
  35. 10
  36. 36
  37. 20
  38. 30
  39. 2
  40. 130

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