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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 526 · 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 30 and 18.
  2. 2.Find the HCF of 56 and 16.
  3. 3.Find the HCF of 30 and 24.
  4. 4.Find the LCM of 10, 5 and 13.
  5. 5.The HCF of two numbers is 7 and their LCM is 42. One of the numbers is 14. What is the other number?
  6. 6.Find the HCF of 20 and 36.
  7. 7.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  8. 8.Find the LCM of 13, 2 and 14.
  9. 9.Find the HCF of 25 and 35.
  10. 10.Find the LCM of 30 and 12.
  11. 11.Find the HCF of 28 and 98.
  12. 12.Find the LCM of 9, 11 and 3.
  13. 13.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  14. 14.Find the LCM of 45 and 40.
  15. 15.Find the HCF of 56 and 40.
  16. 16.Find the HCF of 15 and 9.
  17. 17.Find the LCM of 5, 2 and 3.
  18. 18.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  19. 19.Find the LCM of 5, 12 and 8.
  20. 20.Find the HCF of 12 and 16.
  21. 21.Find the LCM of 2, 3 and 12.
  22. 22.Find the LCM of 3, 2 and 10.
  23. 23.Find the HCF of 35 and 45.
  24. 24.Find the LCM of 6, 9 and 3.
  25. 25.The HCF of two numbers is 9 and their LCM is 648. One of the numbers is 81. What is the other number?
  26. 26.The HCF of two numbers is 3 and their LCM is 63. One of the numbers is 21. What is the other number?
  27. 27.Find the HCF of 24 and 40.
  28. 28.Find the LCM of 24 and 21.
  29. 29.Find the HCF of 20 and 8.
  30. 30.Find the LCM of 10, 9 and 5.
  31. 31.Find the HCF of 65 and 91.
  32. 32.Find the HCF of 12 and 9.
  33. 33.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  34. 34.Find the LCM of 15, 2 and 4.
  35. 35.Find the HCF of 112 and 42.
  36. 36.Find the LCM of 30 and 24.
  37. 37.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  38. 38.Find the LCM of 21 and 15.
  39. 39.Find the LCM of 6 and 27.
  40. 40.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?

Answer key

  1. 90
  2. 8
  3. 6
  4. 130
  5. 21
  6. 4
  7. 24
  8. 182
  9. 5
  10. 60
  11. 14
  12. 99
  13. 49
  14. 360
  15. 8
  16. 3
  17. 30
  18. 30
  19. 120
  20. 4
  21. 12
  22. 30
  23. 5
  24. 18
  25. 72
  26. 9
  27. 8
  28. 168
  29. 4
  30. 90
  31. 13
  32. 3
  33. 8
  34. 60
  35. 14
  36. 120
  37. 63
  38. 105
  39. 54
  40. 18

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