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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 978 · 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 5, 12 and 8.
  2. 2.Find the HCF of 9 and 21.
  3. 3.Find the HCF of 66 and 77.
  4. 4.Find the LCM of 5, 3 and 7.
  5. 5.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  6. 6.Find the LCM of 25 and 35.
  7. 7.Find the LCM of 6, 7 and 2.
  8. 8.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  9. 9.Find the HCF of 70 and 80.
  10. 10.The HCF of two numbers is 8 and their LCM is 168. One of the numbers is 56. What is the other number?
  11. 11.Find the HCF of 117 and 26.
  12. 12.Find the LCM of 21 and 6.
  13. 13.Find the HCF of 4 and 6.
  14. 14.Find the LCM of 2, 3 and 15.
  15. 15.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 48. What is the other number?
  16. 16.Find the LCM of 2, 5 and 8.
  17. 17.Find the LCM of 18 and 4.
  18. 18.Find the LCM of 2, 4 and 9.
  19. 19.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  20. 20.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  21. 21.Find the LCM of 42 and 36.
  22. 22.Find the LCM of 14, 12 and 3.
  23. 23.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  24. 24.Find the HCF of 8 and 20.
  25. 25.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 24. What is the other number?
  26. 26.Find the LCM of 20 and 15.
  27. 27.Find the LCM of 18 and 42.
  28. 28.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  29. 29.Find the LCM of 15 and 35.
  30. 30.Find the LCM of 13, 2 and 6.
  31. 31.Find the HCF of 25 and 10.
  32. 32.The HCF of two numbers is 8 and their LCM is 576. One of the numbers is 64. What is the other number?
  33. 33.Find the HCF of 6 and 21.
  34. 34.Find the LCM of 2 and 7.
  35. 35.Find the HCF of 45 and 72.
  36. 36.Find the LCM of 7, 6 and 14.
  37. 37.Find the LCM of 3 and 4.
  38. 38.Find the HCF of 12 and 10.
  39. 39.Find the LCM of 6, 7 and 4.
  40. 40.Find the LCM of 8, 3 and 12.

Answer key

  1. 120
  2. 3
  3. 11
  4. 105
  5. 35
  6. 175
  7. 42
  8. 14
  9. 10
  10. 24
  11. 13
  12. 42
  13. 2
  14. 30
  15. 30
  16. 40
  17. 36
  18. 36
  19. 4
  20. 10
  21. 252
  22. 84
  23. 15
  24. 4
  25. 18
  26. 60
  27. 126
  28. 56
  29. 105
  30. 78
  31. 5
  32. 72
  33. 3
  34. 14
  35. 9
  36. 42
  37. 12
  38. 2
  39. 84
  40. 24

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