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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 301 · 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, 9 and 13.
  2. 2.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  3. 3.Find the HCF of 24 and 32.
  4. 4.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  5. 5.Find the LCM of 5 and 2.
  6. 6.Find the LCM of 21 and 18.
  7. 7.Find the LCM of 35 and 25.
  8. 8.Find the HCF of 81 and 18.
  9. 9.Find the LCM of 2, 6 and 5.
  10. 10.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  11. 11.Find the LCM of 36 and 8.
  12. 12.Find the LCM of 12, 10 and 2.
  13. 13.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  14. 14.Find the LCM of 11, 9 and 2.
  15. 15.Find the HCF of 108 and 48.
  16. 16.Find the LCM of 11, 10 and 2.
  17. 17.Find the HCF of 80 and 90.
  18. 18.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  19. 19.Find the HCF of 40 and 48.
  20. 20.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  21. 21.Find the HCF of 99 and 77.
  22. 22.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 12. What is the other number?
  23. 23.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  24. 24.Find the LCM of 2, 14 and 15.
  25. 25.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 63. What is the other number?
  26. 26.Find the LCM of 11, 4 and 2.
  27. 27.Find the HCF of 55 and 88.
  28. 28.Find the LCM of 12 and 32.
  29. 29.Find the LCM of 18 and 4.
  30. 30.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  31. 31.Find the HCF of 15 and 6.
  32. 32.Find the HCF of 24 and 56.
  33. 33.Find the LCM of 11, 3 and 15.
  34. 34.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  35. 35.Find the LCM of 10 and 8.
  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.Find the HCF of 10 and 8.
  38. 38.Find the HCF of 12 and 27.
  39. 39.Find the LCM of 6, 12 and 15.
  40. 40.Find the LCM of 25 and 30.

Answer key

  1. 234
  2. 72
  3. 8
  4. 40
  5. 10
  6. 126
  7. 175
  8. 9
  9. 30
  10. 8
  11. 72
  12. 60
  13. 63
  14. 198
  15. 12
  16. 110
  17. 10
  18. 24
  19. 8
  20. 24
  21. 11
  22. 20
  23. 72
  24. 210
  25. 35
  26. 44
  27. 11
  28. 96
  29. 36
  30. 21
  31. 3
  32. 8
  33. 165
  34. 30
  35. 40
  36. 10
  37. 2
  38. 3
  39. 60
  40. 150

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