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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 349 · 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 13, 2 and 12.
  2. 2.Find the LCM of 3, 10 and 2.
  3. 3.The HCF of two numbers is 6 and their LCM is 210. One of the numbers is 42. What is the other number?
  4. 4.Find the HCF of 54 and 48.
  5. 5.Find the LCM of 18 and 4.
  6. 6.Find the LCM of 11, 4 and 12.
  7. 7.Find the LCM of 54 and 48.
  8. 8.Find the HCF of 9 and 24.
  9. 9.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  10. 10.Find the HCF of 135 and 105.
  11. 11.Find the HCF of 63 and 54.
  12. 12.Find the LCM of 4 and 5.
  13. 13.Find the LCM of 2, 13 and 9.
  14. 14.Find the LCM of 10, 7 and 6.
  15. 15.Find the HCF of 126 and 112.
  16. 16.Find the LCM of 6 and 27.
  17. 17.Find the HCF of 24 and 20.
  18. 18.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  19. 19.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  20. 20.Find the LCM of 35 and 10.
  21. 21.Find the LCM of 6, 12 and 7.
  22. 22.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  23. 23.Find the LCM of 4 and 9.
  24. 24.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  25. 25.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  26. 26.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  27. 27.Find the LCM of 10 and 15.
  28. 28.Find the LCM of 4, 6 and 9.
  29. 29.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 63. What is the other number?
  30. 30.Find the HCF of 54 and 30.
  31. 31.Find the HCF of 21 and 18.
  32. 32.Find the LCM of 6 and 5.
  33. 33.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 72. What is the other number?
  34. 34.Find the HCF of 44 and 77.
  35. 35.Find the HCF of 96 and 84.
  36. 36.Find the LCM of 12, 10 and 15.
  37. 37.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 10. What is the other number?
  38. 38.Find the LCM of 12 and 42.
  39. 39.Find the LCM of 5, 2 and 7.
  40. 40.Find the LCM of 28 and 8.

Answer key

  1. 156
  2. 30
  3. 30
  4. 6
  5. 36
  6. 132
  7. 432
  8. 3
  9. 40
  10. 15
  11. 9
  12. 20
  13. 234
  14. 210
  15. 14
  16. 54
  17. 4
  18. 45
  19. 12
  20. 70
  21. 84
  22. 63
  23. 36
  24. 72
  25. 9
  26. 63
  27. 30
  28. 36
  29. 56
  30. 6
  31. 3
  32. 30
  33. 64
  34. 11
  35. 12
  36. 60
  37. 15
  38. 84
  39. 70
  40. 56

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