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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 368 · 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 21 and 6.
  2. 2.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  3. 3.Find the LCM of 12 and 32.
  4. 4.Find the LCM of 21 and 12.
  5. 5.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 36. What is the other number?
  6. 6.Find the HCF of 24 and 84.
  7. 7.Find the HCF of 65 and 117.
  8. 8.Find the LCM of 20 and 25.
  9. 9.Find the HCF of 48 and 18.
  10. 10.Find the LCM of 54 and 30.
  11. 11.Find the LCM of 5, 15 and 4.
  12. 12.Find the LCM of 5, 4 and 2.
  13. 13.Find the LCM of 10, 13 and 5.
  14. 14.Find the LCM of 11, 6 and 12.
  15. 15.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 42. What is the other number?
  16. 16.Find the HCF of 84 and 108.
  17. 17.Find the LCM of 3, 12 and 11.
  18. 18.Find the LCM of 14, 9 and 7.
  19. 19.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  20. 20.Find the LCM of 2, 5 and 8.
  21. 21.Find the LCM of 5, 6 and 8.
  22. 22.Find the LCM of 11, 4 and 12.
  23. 23.Find the LCM of 7, 10 and 6.
  24. 24.Find the HCF of 45 and 35.
  25. 25.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 48. What is the other number?
  26. 26.Find the HCF of 77 and 99.
  27. 27.Find the LCM of 7, 14 and 9.
  28. 28.Find the LCM of 5, 12 and 10.
  29. 29.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  30. 30.Find the LCM of 15, 14 and 2.
  31. 31.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 4. What is the other number?
  32. 32.Find the HCF of 56 and 40.
  33. 33.Find the HCF of 42 and 18.
  34. 34.Find the LCM of 10 and 18.
  35. 35.Find the HCF of 49 and 42.
  36. 36.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 72. What is the other number?
  37. 37.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 48. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  39. 39.Find the LCM of 15 and 20.
  40. 40.Find the LCM of 10 and 6.

Answer key

  1. 42
  2. 63
  3. 96
  4. 84
  5. 27
  6. 12
  7. 13
  8. 100
  9. 6
  10. 270
  11. 60
  12. 20
  13. 130
  14. 132
  15. 18
  16. 12
  17. 132
  18. 126
  19. 35
  20. 40
  21. 120
  22. 132
  23. 210
  24. 5
  25. 56
  26. 11
  27. 126
  28. 60
  29. 36
  30. 210
  31. 6
  32. 8
  33. 6
  34. 90
  35. 7
  36. 81
  37. 54
  38. 40
  39. 60
  40. 30

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