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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 263 · 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 2, 7 and 4.
  2. 2.Find the LCM of 12, 11 and 2.
  3. 3.Find the HCF of 20 and 50.
  4. 4.Find the LCM of 15, 2 and 4.
  5. 5.Find the HCF of 63 and 72.
  6. 6.Find the HCF of 70 and 112.
  7. 7.Find the LCM of 2, 3 and 14.
  8. 8.Find the HCF of 99 and 22.
  9. 9.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  10. 10.Find the LCM of 7, 4 and 3.
  11. 11.The HCF of two numbers is 4 and their LCM is 72. One of the numbers is 36. What is the other number?
  12. 12.Find the HCF of 44 and 99.
  13. 13.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  14. 14.Find the LCM of 10, 7 and 4.
  15. 15.Find the HCF of 15 and 27.
  16. 16.Find the HCF of 20 and 45.
  17. 17.Find the LCM of 9, 4 and 8.
  18. 18.Find the HCF of 27 and 18.
  19. 19.The HCF of two numbers is 9 and their LCM is 378. One of the numbers is 54. What is the other number?
  20. 20.Find the LCM of 4, 9 and 3.
  21. 21.Find the HCF of 9 and 15.
  22. 22.The HCF of two numbers is 2 and their LCM is 144. One of the numbers is 18. What is the other number?
  23. 23.Find the LCM of 3, 6 and 2.
  24. 24.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  25. 25.Find the HCF of 12 and 10.
  26. 26.Find the HCF of 52 and 91.
  27. 27.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 18. What is the other number?
  28. 28.Find the LCM of 6, 15 and 2.
  29. 29.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  30. 30.Find the LCM of 18 and 8.
  31. 31.Find the LCM of 20 and 36.
  32. 32.Find the LCM of 9, 10 and 3.
  33. 33.Find the LCM of 30 and 18.
  34. 34.Find the LCM of 14, 6 and 3.
  35. 35.The HCF of two numbers is 6 and their LCM is 180. One of the numbers is 36. What is the other number?
  36. 36.Find the LCM of 14 and 10.
  37. 37.Find the LCM of 8, 5 and 3.
  38. 38.Find the HCF of 52 and 39.
  39. 39.Find the HCF of 88 and 33.
  40. 40.Find the LCM of 8 and 12.

Answer key

  1. 28
  2. 132
  3. 10
  4. 60
  5. 9
  6. 14
  7. 42
  8. 11
  9. 28
  10. 84
  11. 8
  12. 11
  13. 12
  14. 140
  15. 3
  16. 5
  17. 72
  18. 9
  19. 63
  20. 36
  21. 3
  22. 16
  23. 6
  24. 18
  25. 2
  26. 13
  27. 4
  28. 30
  29. 40
  30. 72
  31. 180
  32. 90
  33. 90
  34. 42
  35. 30
  36. 70
  37. 120
  38. 13
  39. 11
  40. 24

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