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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 550 · 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 42 and 24.
  2. 2.Find the LCM of 35 and 25.
  3. 3.The HCF of two numbers is 6 and their LCM is 36. One of the numbers is 12. What is the other number?
  4. 4.Find the HCF of 56 and 63.
  5. 5.Find the LCM of 36 and 42.
  6. 6.Find the LCM of 10 and 6.
  7. 7.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  8. 8.Find the HCF of 18 and 16.
  9. 9.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  10. 10.Find the LCM of 7, 10 and 5.
  11. 11.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 48. What is the other number?
  12. 12.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  13. 13.Find the LCM of 9, 2 and 11.
  14. 14.Find the HCF of 28 and 20.
  15. 15.Find the LCM of 6 and 8.
  16. 16.Find the LCM of 16 and 18.
  17. 17.Find the LCM of 15 and 27.
  18. 18.Find the HCF of 27 and 36.
  19. 19.The HCF of two numbers is 7 and their LCM is 196. One of the numbers is 49. What is the other number?
  20. 20.Find the LCM of 9 and 7.
  21. 21.Find the HCF of 44 and 55.
  22. 22.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  23. 23.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 14. What is the other number?
  24. 24.Find the LCM of 6 and 21.
  25. 25.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 8. What is the other number?
  26. 26.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 24. What is the other number?
  27. 27.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 36. What is the other number?
  28. 28.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  29. 29.Find the LCM of 6, 3 and 13.
  30. 30.Find the HCF of 120 and 75.
  31. 31.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 56. What is the other number?
  32. 32.Find the HCF of 30 and 54.
  33. 33.Find the LCM of 4, 5 and 8.
  34. 34.Find the HCF of 27 and 12.
  35. 35.Find the HCF of 35 and 21.
  36. 36.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 14. What is the other number?
  37. 37.Find the LCM of 4, 8 and 10.
  38. 38.Find the HCF of 60 and 105.
  39. 39.Find the LCM of 2, 14 and 8.
  40. 40.Find the LCM of 9 and 6.

Answer key

  1. 168
  2. 175
  3. 18
  4. 7
  5. 252
  6. 30
  7. 45
  8. 2
  9. 10
  10. 70
  11. 18
  12. 25
  13. 198
  14. 4
  15. 24
  16. 144
  17. 135
  18. 9
  19. 28
  20. 63
  21. 11
  22. 10
  23. 6
  24. 42
  25. 28
  26. 16
  27. 20
  28. 16
  29. 78
  30. 15
  31. 32
  32. 6
  33. 40
  34. 3
  35. 7
  36. 12
  37. 40
  38. 15
  39. 56
  40. 18

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