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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 556 · 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 2 and 9.
  2. 2.Find the LCM of 10, 2 and 13.
  3. 3.Find the LCM of 24 and 9.
  4. 4.Find the HCF of 56 and 63.
  5. 5.Find the LCM of 9, 4 and 10.
  6. 6.Find the LCM of 10 and 15.
  7. 7.Find the HCF of 91 and 39.
  8. 8.Find the LCM of 13, 9 and 6.
  9. 9.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 64. What is the other number?
  10. 10.Find the HCF of 91 and 104.
  11. 11.Find the HCF of 18 and 14.
  12. 12.Find the HCF of 27 and 21.
  13. 13.Find the LCM of 21 and 15.
  14. 14.Find the LCM of 2, 9 and 6.
  15. 15.Find the LCM of 21 and 9.
  16. 16.Find the HCF of 48 and 84.
  17. 17.Find the LCM of 12, 14 and 8.
  18. 18.Find the LCM of 21 and 6.
  19. 19.Find the HCF of 14 and 12.
  20. 20.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  21. 21.Find the LCM of 15 and 35.
  22. 22.Find the LCM of 9 and 2.
  23. 23.Find the HCF of 21 and 24.
  24. 24.Find the LCM of 18 and 21.
  25. 25.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  26. 26.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 42. What is the other number?
  27. 27.Find the LCM of 3, 8 and 14.
  28. 28.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  29. 29.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  30. 30.Find the LCM of 5, 10 and 2.
  31. 31.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 35. What is the other number?
  32. 32.Find the LCM of 6, 2 and 11.
  33. 33.Find the LCM of 2 and 7.
  34. 34.Find the HCF of 42 and 36.
  35. 35.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  36. 36.Find the LCM of 15, 10 and 14.
  37. 37.Find the LCM of 18 and 48.
  38. 38.Find the LCM of 2, 6 and 5.
  39. 39.Find the LCM of 3 and 5.
  40. 40.Find the LCM of 8 and 9.

Answer key

  1. 18
  2. 130
  3. 72
  4. 7
  5. 180
  6. 30
  7. 13
  8. 234
  9. 24
  10. 13
  11. 2
  12. 3
  13. 105
  14. 18
  15. 63
  16. 12
  17. 168
  18. 42
  19. 2
  20. 81
  21. 105
  22. 18
  23. 3
  24. 126
  25. 64
  26. 49
  27. 168
  28. 40
  29. 40
  30. 10
  31. 15
  32. 66
  33. 14
  34. 6
  35. 20
  36. 210
  37. 144
  38. 30
  39. 15
  40. 72

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