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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 380 · 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 24 and 21.
  2. 2.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 16. What is the other number?
  3. 3.Find the LCM of 24 and 18.
  4. 4.Find the HCF of 26 and 91.
  5. 5.The HCF of two numbers is 3 and their LCM is 45. One of the numbers is 15. What is the other number?
  6. 6.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  7. 7.Find the HCF of 16 and 56.
  8. 8.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  9. 9.Find the HCF of 56 and 40.
  10. 10.Find the HCF of 18 and 45.
  11. 11.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  12. 12.Find the LCM of 2, 6 and 5.
  13. 13.Find the LCM of 5, 11 and 2.
  14. 14.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 21. What is the other number?
  15. 15.Find the HCF of 50 and 30.
  16. 16.Find the LCM of 21 and 9.
  17. 17.Find the LCM of 5, 12 and 10.
  18. 18.Find the HCF of 10 and 25.
  19. 19.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  20. 20.Find the LCM of 3, 7 and 4.
  21. 21.Find the LCM of 16 and 6.
  22. 22.Find the LCM of 6 and 14.
  23. 23.Find the HCF of 36 and 32.
  24. 24.Find the HCF of 24 and 42.
  25. 25.Find the LCM of 4, 9 and 8.
  26. 26.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  27. 27.Find the LCM of 18 and 48.
  28. 28.Find the LCM of 5, 6 and 9.
  29. 29.Find the HCF of 36 and 63.
  30. 30.Find the LCM of 10, 15 and 4.
  31. 31.Find the LCM of 5 and 7.
  32. 32.Find the LCM of 10 and 6.
  33. 33.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  34. 34.Find the HCF of 16 and 72.
  35. 35.Find the LCM of 8 and 36.
  36. 36.Find the LCM of 3, 2 and 11.
  37. 37.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 10. What is the other number?
  38. 38.Find the LCM of 8, 6 and 12.
  39. 39.Find the LCM of 4, 13 and 3.
  40. 40.Find the LCM of 11, 2 and 5.

Answer key

  1. 168
  2. 20
  3. 72
  4. 13
  5. 9
  6. 35
  7. 8
  8. 72
  9. 8
  10. 9
  11. 8
  12. 30
  13. 110
  14. 14
  15. 10
  16. 63
  17. 60
  18. 5
  19. 8
  20. 84
  21. 48
  22. 42
  23. 4
  24. 6
  25. 72
  26. 48
  27. 144
  28. 90
  29. 9
  30. 60
  31. 35
  32. 30
  33. 63
  34. 8
  35. 72
  36. 66
  37. 18
  38. 24
  39. 156
  40. 110

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