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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 423 · 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 20 and 45.
  2. 2.Find the LCM of 7, 11 and 3.
  3. 3.Find the LCM of 54 and 42.
  4. 4.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  5. 5.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  6. 6.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  7. 7.The HCF of two numbers is 8 and their LCM is 360. One of the numbers is 72. What is the other number?
  8. 8.Find the LCM of 2, 13 and 10.
  9. 9.Find the HCF of 44 and 33.
  10. 10.Find the LCM of 24 and 54.
  11. 11.Find the HCF of 9 and 21.
  12. 12.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  13. 13.Find the HCF of 48 and 108.
  14. 14.Find the LCM of 5, 6 and 4.
  15. 15.Find the LCM of 2 and 5.
  16. 16.The HCF of two numbers is 7 and their LCM is 280. One of the numbers is 56. What is the other number?
  17. 17.Find the LCM of 5, 14 and 7.
  18. 18.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  19. 19.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  20. 20.Find the LCM of 5 and 7.
  21. 21.Find the LCM of 14, 12 and 8.
  22. 22.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  23. 23.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  24. 24.Find the LCM of 2, 4 and 7.
  25. 25.Find the LCM of 2, 15 and 10.
  26. 26.Find the HCF of 24 and 42.
  27. 27.Find the LCM of 16 and 12.
  28. 28.Find the HCF of 28 and 21.
  29. 29.Find the HCF of 120 and 45.
  30. 30.Find the HCF of 77 and 55.
  31. 31.Find the HCF of 135 and 60.
  32. 32.Find the HCF of 12 and 30.
  33. 33.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 18. What is the other number?
  34. 34.Find the HCF of 117 and 65.
  35. 35.Find the LCM of 9 and 12.
  36. 36.Find the LCM of 2, 12 and 6.
  37. 37.Find the LCM of 2, 12 and 5.
  38. 38.Find the LCM of 18 and 48.
  39. 39.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  40. 40.Find the LCM of 5, 3 and 10.

Answer key

  1. 180
  2. 231
  3. 378
  4. 42
  5. 24
  6. 32
  7. 40
  8. 130
  9. 11
  10. 216
  11. 3
  12. 6
  13. 12
  14. 60
  15. 10
  16. 35
  17. 70
  18. 40
  19. 18
  20. 35
  21. 168
  22. 24
  23. 36
  24. 28
  25. 30
  26. 6
  27. 48
  28. 7
  29. 15
  30. 11
  31. 15
  32. 6
  33. 15
  34. 13
  35. 36
  36. 12
  37. 60
  38. 144
  39. 6
  40. 30

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