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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 234 · 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 7 and 3.
  2. 2.Find the LCM of 3 and 5.
  3. 3.Find the LCM of 2, 12 and 5.
  4. 4.Find the LCM of 30 and 12.
  5. 5.Find the LCM of 3, 2 and 8.
  6. 6.Find the HCF of 9 and 21.
  7. 7.Find the LCM of 5 and 2.
  8. 8.Find the LCM of 16 and 36.
  9. 9.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  10. 10.Find the HCF of 126 and 28.
  11. 11.Find the HCF of 75 and 135.
  12. 12.Find the HCF of 6 and 8.
  13. 13.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 42 and 18.
  15. 15.Find the LCM of 9 and 24.
  16. 16.Find the LCM of 32 and 28.
  17. 17.Find the LCM of 30 and 36.
  18. 18.Find the LCM of 3, 2 and 4.
  19. 19.Find the HCF of 70 and 80.
  20. 20.Find the LCM of 7, 9 and 6.
  21. 21.Find the HCF of 24 and 64.
  22. 22.Find the LCM of 10, 15 and 4.
  23. 23.The HCF of two numbers is 2 and their LCM is 40. One of the numbers is 10. What is the other number?
  24. 24.The HCF of two numbers is 7 and their LCM is 252. One of the numbers is 28. What is the other number?
  25. 25.Find the LCM of 25 and 10.
  26. 26.Find the LCM of 15 and 10.
  27. 27.Find the HCF of 117 and 91.
  28. 28.Find the LCM of 8 and 36.
  29. 29.Find the HCF of 49 and 63.
  30. 30.Find the HCF of 24 and 20.
  31. 31.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  32. 32.Find the LCM of 12, 6 and 9.
  33. 33.Find the LCM of 15 and 9.
  34. 34.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  35. 35.Find the LCM of 12, 11 and 4.
  36. 36.Find the LCM of 14, 9 and 6.
  37. 37.Find the HCF of 18 and 10.
  38. 38.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  39. 39.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?
  40. 40.Find the LCM of 11, 2 and 4.

Answer key

  1. 21
  2. 15
  3. 60
  4. 60
  5. 24
  6. 3
  7. 10
  8. 144
  9. 40
  10. 14
  11. 15
  12. 2
  13. 9
  14. 126
  15. 72
  16. 224
  17. 180
  18. 12
  19. 10
  20. 126
  21. 8
  22. 60
  23. 8
  24. 63
  25. 50
  26. 30
  27. 13
  28. 72
  29. 7
  30. 4
  31. 16
  32. 36
  33. 45
  34. 4
  35. 132
  36. 126
  37. 2
  38. 40
  39. 45
  40. 44

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