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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 986 · 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 11, 15 and 5.
  2. 2.Find the LCM of 3, 12 and 13.
  3. 3.Find the LCM of 5, 3 and 6.
  4. 4.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  5. 5.Find the LCM of 12 and 21.
  6. 6.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  7. 7.The HCF of two numbers is 9 and their LCM is 180. One of the numbers is 36. What is the other number?
  8. 8.Find the LCM of 18 and 8.
  9. 9.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  10. 10.Find the LCM of 14 and 12.
  11. 11.The HCF of two numbers is 2 and their LCM is 60. One of the numbers is 12. What is the other number?
  12. 12.Find the LCM of 6, 9 and 10.
  13. 13.Find the HCF of 21 and 35.
  14. 14.Find the LCM of 45 and 10.
  15. 15.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  16. 16.Find the LCM of 8 and 12.
  17. 17.Find the LCM of 21 and 15.
  18. 18.Find the LCM of 4, 14 and 6.
  19. 19.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  20. 20.Find the HCF of 80 and 70.
  21. 21.Find the HCF of 105 and 90.
  22. 22.Find the HCF of 40 and 56.
  23. 23.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 25. What is the other number?
  24. 24.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  25. 25.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  26. 26.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  27. 27.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  28. 28.The HCF of two numbers is 7 and their LCM is 294. One of the numbers is 49. What is the other number?
  29. 29.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  30. 30.Find the LCM of 20 and 24.
  31. 31.Find the LCM of 30 and 18.
  32. 32.Find the LCM of 6, 3 and 2.
  33. 33.Find the HCF of 24 and 108.
  34. 34.The HCF of two numbers is 7 and their LCM is 504. One of the numbers is 56. What is the other number?
  35. 35.Find the HCF of 36 and 81.
  36. 36.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  37. 37.Find the HCF of 70 and 112.
  38. 38.Find the LCM of 12 and 42.
  39. 39.Find the LCM of 6 and 15.
  40. 40.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?

Answer key

  1. 165
  2. 156
  3. 30
  4. 40
  5. 84
  6. 36
  7. 45
  8. 72
  9. 63
  10. 84
  11. 10
  12. 90
  13. 7
  14. 90
  15. 28
  16. 24
  17. 105
  18. 84
  19. 27
  20. 10
  21. 15
  22. 8
  23. 40
  24. 10
  25. 6
  26. 36
  27. 10
  28. 42
  29. 35
  30. 120
  31. 90
  32. 6
  33. 12
  34. 63
  35. 9
  36. 32
  37. 14
  38. 84
  39. 30
  40. 8

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