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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 203 · 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 54 and 48.
  2. 2.Find the HCF of 48 and 30.
  3. 3.Find the LCM of 12, 6 and 9.
  4. 4.Find the LCM of 2, 6 and 15.
  5. 5.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  6. 6.Find the LCM of 8 and 12.
  7. 7.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  8. 8.Find the LCM of 5, 10 and 12.
  9. 9.Find the LCM of 5 and 8.
  10. 10.Find the LCM of 16 and 18.
  11. 11.Find the HCF of 52 and 117.
  12. 12.Find the LCM of 4, 5 and 6.
  13. 13.Find the HCF of 72 and 32.
  14. 14.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  15. 15.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  16. 16.Find the HCF of 10 and 16.
  17. 17.Find the LCM of 13, 9 and 6.
  18. 18.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  19. 19.Find the HCF of 60 and 105.
  20. 20.The HCF of two numbers is 2 and their LCM is 90. One of the numbers is 18. What is the other number?
  21. 21.Find the LCM of 8, 4 and 5.
  22. 22.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 30. What is the other number?
  23. 23.Find the HCF of 16 and 36.
  24. 24.Find the LCM of 18 and 30.
  25. 25.Find the LCM of 7 and 2.
  26. 26.The HCF of two numbers is 2 and their LCM is 126. One of the numbers is 14. What is the other number?
  27. 27.Find the LCM of 9 and 21.
  28. 28.Find the HCF of 65 and 26.
  29. 29.Find the LCM of 5 and 2.
  30. 30.Find the LCM of 7 and 3.
  31. 31.Find the LCM of 32 and 36.
  32. 32.Find the HCF of 26 and 91.
  33. 33.Find the LCM of 3, 5 and 15.
  34. 34.Find the HCF of 126 and 112.
  35. 35.Find the HCF of 65 and 91.
  36. 36.The HCF of two numbers is 6 and their LCM is 378. One of the numbers is 54. What is the other number?
  37. 37.Find the LCM of 14, 15 and 7.
  38. 38.Find the LCM of 5, 14 and 2.
  39. 39.Find the LCM of 30 and 18.
  40. 40.Find the HCF of 20 and 35.

Answer key

  1. 432
  2. 6
  3. 36
  4. 30
  5. 4
  6. 24
  7. 8
  8. 60
  9. 40
  10. 144
  11. 13
  12. 60
  13. 8
  14. 24
  15. 63
  16. 2
  17. 234
  18. 21
  19. 15
  20. 10
  21. 40
  22. 35
  23. 4
  24. 90
  25. 14
  26. 18
  27. 63
  28. 13
  29. 10
  30. 21
  31. 288
  32. 13
  33. 15
  34. 14
  35. 13
  36. 42
  37. 210
  38. 70
  39. 90
  40. 5

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