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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 426 · 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 6 and 4.
  2. 2.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  3. 3.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  4. 4.Find the LCM of 15 and 40.
  5. 5.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  6. 6.Find the HCF of 30 and 18.
  7. 7.Find the HCF of 18 and 45.
  8. 8.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  9. 9.Find the LCM of 54 and 12.
  10. 10.Find the LCM of 12, 2 and 13.
  11. 11.Find the HCF of 25 and 35.
  12. 12.Find the HCF of 120 and 45.
  13. 13.Find the LCM of 3, 2 and 10.
  14. 14.Find the HCF of 81 and 45.
  15. 15.Find the LCM of 15, 3 and 5.
  16. 16.Find the LCM of 14, 2 and 6.
  17. 17.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 40. What is the other number?
  18. 18.Find the LCM of 12 and 8.
  19. 19.Find the LCM of 6, 5 and 9.
  20. 20.Find the LCM of 2, 8 and 6.
  21. 21.Find the HCF of 54 and 24.
  22. 22.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  23. 23.Find the LCM of 20 and 25.
  24. 24.Find the LCM of 3, 14 and 15.
  25. 25.Find the LCM of 20 and 45.
  26. 26.Find the LCM of 2, 4 and 6.
  27. 27.Find the LCM of 7, 11 and 14.
  28. 28.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  29. 29.Find the HCF of 77 and 88.
  30. 30.Find the LCM of 18 and 21.
  31. 31.Find the LCM of 6 and 21.
  32. 32.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  33. 33.Find the LCM of 18 and 15.
  34. 34.Find the LCM of 9 and 4.
  35. 35.The HCF of two numbers is 8 and their LCM is 80. One of the numbers is 16. What is the other number?
  36. 36.Find the HCF of 18 and 81.
  37. 37.Find the LCM of 25 and 35.
  38. 38.Find the LCM of 8, 6 and 10.
  39. 39.Find the LCM of 12 and 10.
  40. 40.Find the LCM of 4, 5 and 6.

Answer key

  1. 12
  2. 45
  3. 28
  4. 120
  5. 45
  6. 6
  7. 9
  8. 20
  9. 108
  10. 156
  11. 5
  12. 15
  13. 30
  14. 9
  15. 15
  16. 42
  17. 35
  18. 24
  19. 90
  20. 24
  21. 6
  22. 45
  23. 100
  24. 210
  25. 180
  26. 12
  27. 154
  28. 36
  29. 11
  30. 126
  31. 42
  32. 30
  33. 90
  34. 36
  35. 40
  36. 9
  37. 175
  38. 120
  39. 60
  40. 60

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