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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 209 · 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, 10 and 14.
  2. 2.Find the LCM of 15, 10 and 7.
  3. 3.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  4. 4.Find the LCM of 4, 5 and 7.
  5. 5.Find the HCF of 84 and 48.
  6. 6.Find the LCM of 5, 3 and 14.
  7. 7.Find the HCF of 91 and 78.
  8. 8.Find the HCF of 98 and 126.
  9. 9.Find the HCF of 36 and 96.
  10. 10.The HCF of two numbers is 8 and their LCM is 336. One of the numbers is 56. What is the other number?
  11. 11.Find the HCF of 91 and 117.
  12. 12.Find the LCM of 9 and 6.
  13. 13.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  14. 14.Find the LCM of 5, 2 and 12.
  15. 15.Find the LCM of 4, 15 and 3.
  16. 16.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  17. 17.Find the LCM of 10, 5 and 11.
  18. 18.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 49. What is the other number?
  19. 19.Find the LCM of 25 and 35.
  20. 20.Find the HCF of 14 and 12.
  21. 21.Find the HCF of 72 and 40.
  22. 22.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  23. 23.Find the LCM of 4, 9 and 12.
  24. 24.Find the LCM of 14, 2 and 7.
  25. 25.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  26. 26.Find the LCM of 32 and 12.
  27. 27.Find the LCM of 2, 7 and 4.
  28. 28.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  29. 29.Find the HCF of 21 and 27.
  30. 30.Find the LCM of 2, 10 and 8.
  31. 31.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  32. 32.Find the LCM of 8 and 5.
  33. 33.Find the LCM of 6, 14 and 7.
  34. 34.Find the LCM of 4, 9 and 8.
  35. 35.Find the LCM of 27 and 12.
  36. 36.Find the HCF of 21 and 56.
  37. 37.Find the HCF of 42 and 98.
  38. 38.Find the LCM of 42 and 24.
  39. 39.Find the LCM of 10, 2 and 6.
  40. 40.Find the LCM of 12 and 15.

Answer key

  1. 70
  2. 210
  3. 12
  4. 140
  5. 12
  6. 210
  7. 13
  8. 14
  9. 12
  10. 48
  11. 13
  12. 18
  13. 32
  14. 60
  15. 60
  16. 45
  17. 110
  18. 63
  19. 175
  20. 2
  21. 8
  22. 63
  23. 36
  24. 14
  25. 9
  26. 96
  27. 28
  28. 63
  29. 3
  30. 40
  31. 63
  32. 40
  33. 42
  34. 72
  35. 108
  36. 7
  37. 14
  38. 168
  39. 30
  40. 60

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