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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 454 · 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 4, 15 and 12.
  2. 2.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  3. 3.Find the LCM of 16 and 18.
  4. 4.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  5. 5.Find the LCM of 3, 9 and 12.
  6. 6.Find the LCM of 6 and 8.
  7. 7.Find the HCF of 24 and 27.
  8. 8.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  9. 9.Find the HCF of 10 and 6.
  10. 10.Find the LCM of 8 and 14.
  11. 11.Find the LCM of 6 and 4.
  12. 12.The HCF of two numbers is 2 and their LCM is 12. One of the numbers is 6. What is the other number?
  13. 13.Find the HCF of 33 and 44.
  14. 14.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  15. 15.Find the LCM of 48 and 54.
  16. 16.Find the HCF of 42 and 98.
  17. 17.Find the HCF of 30 and 12.
  18. 18.Find the HCF of 20 and 90.
  19. 19.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  20. 20.Find the LCM of 2, 3 and 15.
  21. 21.Find the LCM of 3 and 2.
  22. 22.Find the HCF of 26 and 65.
  23. 23.Find the HCF of 56 and 21.
  24. 24.Find the HCF of 28 and 20.
  25. 25.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 24. What is the other number?
  26. 26.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 28. What is the other number?
  27. 27.Find the HCF of 35 and 10.
  28. 28.Find the LCM of 10 and 16.
  29. 29.The HCF of two numbers is 7 and their LCM is 245. One of the numbers is 49. What is the other number?
  30. 30.Find the LCM of 2, 11 and 10.
  31. 31.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  32. 32.Find the LCM of 9 and 6.
  33. 33.Find the LCM of 13, 3 and 15.
  34. 34.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  35. 35.Find the LCM of 2 and 9.
  36. 36.Find the HCF of 48 and 42.
  37. 37.Find the LCM of 8, 4 and 13.
  38. 38.Find the LCM of 7 and 2.
  39. 39.Find the LCM of 30 and 48.
  40. 40.The HCF of two numbers is 9 and their LCM is 405. One of the numbers is 45. What is the other number?

Answer key

  1. 60
  2. 40
  3. 144
  4. 8
  5. 36
  6. 24
  7. 3
  8. 32
  9. 2
  10. 56
  11. 12
  12. 4
  13. 11
  14. 28
  15. 432
  16. 14
  17. 6
  18. 10
  19. 10
  20. 30
  21. 6
  22. 13
  23. 7
  24. 4
  25. 56
  26. 12
  27. 5
  28. 80
  29. 35
  30. 110
  31. 18
  32. 18
  33. 195
  34. 36
  35. 18
  36. 6
  37. 104
  38. 14
  39. 240
  40. 81

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