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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 820 · 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 18 and 30.
  2. 2.Find the LCM of 5, 4 and 15.
  3. 3.Find the LCM of 5, 2 and 3.
  4. 4.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  5. 5.Find the LCM of 15, 7 and 2.
  6. 6.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  7. 7.Find the HCF of 30 and 70.
  8. 8.Find the LCM of 12, 15 and 10.
  9. 9.Find the LCM of 12, 13 and 4.
  10. 10.Find the HCF of 70 and 112.
  11. 11.Find the HCF of 72 and 40.
  12. 12.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  13. 13.Find the LCM of 13, 5 and 10.
  14. 14.Find the HCF of 35 and 42.
  15. 15.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 42. What is the other number?
  16. 16.Find the HCF of 21 and 24.
  17. 17.Find the LCM of 12 and 30.
  18. 18.Find the HCF of 12 and 21.
  19. 19.Find the HCF of 32 and 36.
  20. 20.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  21. 21.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  22. 22.Find the LCM of 14, 3 and 7.
  23. 23.Find the LCM of 6, 12 and 3.
  24. 24.Find the HCF of 56 and 63.
  25. 25.Find the LCM of 4, 2 and 8.
  26. 26.Find the LCM of 28 and 12.
  27. 27.Find the LCM of 2, 5 and 15.
  28. 28.Find the LCM of 30 and 36.
  29. 29.Find the LCM of 42 and 48.
  30. 30.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  31. 31.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 45. What is the other number?
  32. 32.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  33. 33.Find the LCM of 24 and 42.
  34. 34.Find the LCM of 35 and 20.
  35. 35.Find the HCF of 32 and 40.
  36. 36.Find the HCF of 126 and 112.
  37. 37.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  38. 38.Find the LCM of 40 and 15.
  39. 39.Find the HCF of 84 and 98.
  40. 40.Find the LCM of 14, 2 and 12.

Answer key

  1. 90
  2. 60
  3. 30
  4. 18
  5. 210
  6. 40
  7. 10
  8. 60
  9. 156
  10. 14
  11. 8
  12. 4
  13. 130
  14. 7
  15. 24
  16. 3
  17. 60
  18. 3
  19. 4
  20. 9
  21. 6
  22. 42
  23. 12
  24. 7
  25. 8
  26. 84
  27. 30
  28. 180
  29. 336
  30. 36
  31. 36
  32. 48
  33. 168
  34. 140
  35. 8
  36. 14
  37. 24
  38. 120
  39. 14
  40. 84

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