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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 366 · 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 6, 12 and 11.
  2. 2.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  3. 3.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  4. 4.Find the LCM of 15 and 27.
  5. 5.Find the LCM of 24 and 28.
  6. 6.Find the LCM of 32 and 36.
  7. 7.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  8. 8.Find the LCM of 14 and 10.
  9. 9.Find the HCF of 40 and 25.
  10. 10.Find the LCM of 9, 12 and 15.
  11. 11.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  12. 12.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  13. 13.Find the HCF of 55 and 33.
  14. 14.Find the HCF of 26 and 91.
  15. 15.Find the LCM of 5, 7 and 14.
  16. 16.Find the LCM of 36 and 16.
  17. 17.Find the LCM of 12 and 10.
  18. 18.Find the LCM of 8 and 28.
  19. 19.Find the HCF of 24 and 9.
  20. 20.Find the LCM of 9, 10 and 3.
  21. 21.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  22. 22.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  23. 23.Find the LCM of 6, 7 and 10.
  24. 24.Find the LCM of 15 and 24.
  25. 25.Find the HCF of 40 and 24.
  26. 26.Find the HCF of 65 and 104.
  27. 27.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 6. What is the other number?
  28. 28.Find the HCF of 16 and 20.
  29. 29.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  30. 30.Find the HCF of 10 and 25.
  31. 31.Find the LCM of 6, 11 and 9.
  32. 32.Find the HCF of 25 and 15.
  33. 33.Find the LCM of 16 and 18.
  34. 34.Find the LCM of 32 and 12.
  35. 35.Find the HCF of 12 and 8.
  36. 36.Find the LCM of 9, 6 and 13.
  37. 37.Find the LCM of 3 and 4.
  38. 38.Find the LCM of 8, 3 and 9.
  39. 39.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  40. 40.Find the HCF of 35 and 25.

Answer key

  1. 132
  2. 35
  3. 9
  4. 135
  5. 168
  6. 288
  7. 21
  8. 70
  9. 5
  10. 180
  11. 6
  12. 24
  13. 11
  14. 13
  15. 70
  16. 144
  17. 60
  18. 56
  19. 3
  20. 90
  21. 18
  22. 24
  23. 210
  24. 120
  25. 8
  26. 13
  27. 8
  28. 4
  29. 45
  30. 5
  31. 198
  32. 5
  33. 144
  34. 96
  35. 4
  36. 234
  37. 12
  38. 72
  39. 6
  40. 5

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