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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 66 · 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 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  2. 2.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  3. 3.Find the LCM of 11, 2 and 12.
  4. 4.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  5. 5.Find the LCM of 21 and 27.
  6. 6.Find the HCF of 22 and 55.
  7. 7.Find the LCM of 5, 6 and 8.
  8. 8.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  9. 9.Find the HCF of 28 and 42.
  10. 10.Find the LCM of 7 and 4.
  11. 11.Find the HCF of 16 and 28.
  12. 12.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  13. 13.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  14. 14.Find the HCF of 56 and 24.
  15. 15.Find the LCM of 6, 10 and 14.
  16. 16.Find the LCM of 3 and 4.
  17. 17.Find the LCM of 14 and 12.
  18. 18.Find the LCM of 42 and 12.
  19. 19.Find the HCF of 96 and 60.
  20. 20.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 12. What is the other number?
  21. 21.Find the LCM of 5, 9 and 2.
  22. 22.Find the LCM of 15, 12 and 2.
  23. 23.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  24. 24.Find the LCM of 25 and 45.
  25. 25.Find the HCF of 63 and 28.
  26. 26.Find the LCM of 14, 6 and 5.
  27. 27.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  28. 28.Find the LCM of 15, 6 and 3.
  29. 29.Find the LCM of 6, 2 and 4.
  30. 30.Find the LCM of 5, 10 and 3.
  31. 31.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  32. 32.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  33. 33.Find the LCM of 10, 6 and 5.
  34. 34.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  35. 35.Find the LCM of 12, 14 and 4.
  36. 36.Find the HCF of 25 and 35.
  37. 37.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  38. 38.Find the HCF of 32 and 28.
  39. 39.Find the LCM of 40 and 15.
  40. 40.Find the LCM of 4, 8 and 15.

Answer key

  1. 16
  2. 63
  3. 132
  4. 15
  5. 189
  6. 11
  7. 120
  8. 63
  9. 14
  10. 28
  11. 4
  12. 12
  13. 35
  14. 8
  15. 210
  16. 12
  17. 84
  18. 84
  19. 12
  20. 27
  21. 90
  22. 60
  23. 14
  24. 225
  25. 7
  26. 210
  27. 49
  28. 30
  29. 12
  30. 30
  31. 15
  32. 45
  33. 30
  34. 35
  35. 84
  36. 5
  37. 35
  38. 4
  39. 120
  40. 120

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