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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 736 · 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 7, 9 and 3.
  2. 2.Find the LCM of 20 and 8.
  3. 3.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  4. 4.Find the LCM of 9 and 2.
  5. 5.Find the LCM of 6 and 9.
  6. 6.Find the LCM of 10, 12 and 8.
  7. 7.Find the LCM of 6, 8 and 3.
  8. 8.Find the LCM of 15 and 25.
  9. 9.Find the LCM of 14 and 8.
  10. 10.Find the HCF of 45 and 10.
  11. 11.Find the HCF of 99 and 22.
  12. 12.Find the LCM of 25 and 15.
  13. 13.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  14. 14.Find the HCF of 88 and 77.
  15. 15.Find the LCM of 6, 7 and 4.
  16. 16.Find the LCM of 3, 4 and 8.
  17. 17.Find the HCF of 84 and 70.
  18. 18.Find the LCM of 25 and 40.
  19. 19.Find the LCM of 18 and 12.
  20. 20.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  21. 21.Find the HCF of 27 and 21.
  22. 22.Find the LCM of 11, 15 and 5.
  23. 23.Find the HCF of 72 and 56.
  24. 24.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  25. 25.Find the HCF of 117 and 91.
  26. 26.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  27. 27.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 35. What is the other number?
  28. 28.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  29. 29.Find the LCM of 12, 5 and 3.
  30. 30.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 40. What is the other number?
  31. 31.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  32. 32.Find the HCF of 32 and 24.
  33. 33.Find the LCM of 9 and 8.
  34. 34.Find the LCM of 4, 9 and 6.
  35. 35.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  36. 36.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 35. What is the other number?
  37. 37.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  38. 38.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  39. 39.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  40. 40.Find the LCM of 12, 9 and 4.

Answer key

  1. 63
  2. 40
  3. 12
  4. 18
  5. 18
  6. 120
  7. 24
  8. 75
  9. 56
  10. 5
  11. 11
  12. 75
  13. 36
  14. 11
  15. 84
  16. 24
  17. 14
  18. 200
  19. 36
  20. 15
  21. 3
  22. 165
  23. 8
  24. 63
  25. 13
  26. 49
  27. 45
  28. 35
  29. 60
  30. 72
  31. 12
  32. 8
  33. 72
  34. 36
  35. 63
  36. 10
  37. 63
  38. 24
  39. 40
  40. 36

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