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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 561 · 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 4 and 10.
  2. 2.Find the LCM of 10 and 18.
  3. 3.Find the HCF of 75 and 45.
  4. 4.Find the HCF of 21 and 24.
  5. 5.Find the LCM of 2, 3 and 14.
  6. 6.Find the HCF of 56 and 49.
  7. 7.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  8. 8.Find the LCM of 6 and 5.
  9. 9.Find the HCF of 70 and 98.
  10. 10.Find the LCM of 4, 3 and 13.
  11. 11.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 63. What is the other number?
  12. 12.Find the LCM of 7, 11 and 3.
  13. 13.The HCF of two numbers is 5 and their LCM is 30. One of the numbers is 15. What is the other number?
  14. 14.Find the LCM of 9 and 7.
  15. 15.Find the HCF of 70 and 28.
  16. 16.Find the LCM of 35 and 45.
  17. 17.Find the HCF of 32 and 72.
  18. 18.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  19. 19.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  20. 20.Find the HCF of 16 and 18.
  21. 21.Find the HCF of 36 and 16.
  22. 22.Find the LCM of 11, 10 and 2.
  23. 23.Find the LCM of 15 and 10.
  24. 24.Find the LCM of 16 and 14.
  25. 25.Find the LCM of 16 and 12.
  26. 26.Find the LCM of 13, 2 and 10.
  27. 27.Find the LCM of 15 and 40.
  28. 28.Find the HCF of 96 and 84.
  29. 29.The HCF of two numbers is 4 and their LCM is 56. One of the numbers is 28. What is the other number?
  30. 30.Find the LCM of 5, 7 and 15.
  31. 31.Find the LCM of 8, 4 and 9.
  32. 32.Find the LCM of 14, 3 and 7.
  33. 33.Find the LCM of 9, 12 and 8.
  34. 34.Find the HCF of 98 and 112.
  35. 35.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  36. 36.Find the LCM of 10 and 12.
  37. 37.Find the HCF of 28 and 49.
  38. 38.Find the HCF of 65 and 91.
  39. 39.Find the LCM of 9 and 4.
  40. 40.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 25. What is the other number?

Answer key

  1. 20
  2. 90
  3. 15
  4. 3
  5. 42
  6. 7
  7. 21
  8. 30
  9. 14
  10. 156
  11. 14
  12. 231
  13. 10
  14. 63
  15. 14
  16. 315
  17. 8
  18. 25
  19. 16
  20. 2
  21. 4
  22. 110
  23. 30
  24. 112
  25. 48
  26. 130
  27. 120
  28. 12
  29. 8
  30. 105
  31. 72
  32. 42
  33. 72
  34. 14
  35. 49
  36. 60
  37. 7
  38. 13
  39. 36
  40. 45

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