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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 640 · 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 10, 2 and 15.
  2. 2.Find the HCF of 117 and 91.
  3. 3.Find the LCM of 15, 5 and 3.
  4. 4.Find the HCF of 44 and 99.
  5. 5.Find the HCF of 63 and 35.
  6. 6.Find the LCM of 14, 9 and 3.
  7. 7.Find the HCF of 20 and 35.
  8. 8.Find the LCM of 12 and 30.
  9. 9.Find the LCM of 4, 6 and 5.
  10. 10.Find the LCM of 6, 9 and 4.
  11. 11.Find the LCM of 15 and 35.
  12. 12.Find the LCM of 8 and 6.
  13. 13.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  14. 14.Find the LCM of 6, 11 and 12.
  15. 15.Find the HCF of 21 and 27.
  16. 16.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  17. 17.Find the LCM of 5, 15 and 6.
  18. 18.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 63. What is the other number?
  19. 19.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 32. What is the other number?
  20. 20.Find the LCM of 5, 15 and 4.
  21. 21.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  22. 22.Find the LCM of 28 and 8.
  23. 23.Find the LCM of 3, 4 and 8.
  24. 24.Find the HCF of 6 and 15.
  25. 25.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 56. What is the other number?
  26. 26.Find the LCM of 14, 15 and 10.
  27. 27.Find the LCM of 10, 4 and 7.
  28. 28.Find the LCM of 21 and 6.
  29. 29.Find the HCF of 25 and 35.
  30. 30.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  31. 31.Find the LCM of 7 and 8.
  32. 32.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 2 and 9.
  34. 34.Find the LCM of 18 and 48.
  35. 35.Find the HCF of 55 and 33.
  36. 36.Find the LCM of 12, 6 and 11.
  37. 37.Find the LCM of 3, 14 and 12.
  38. 38.Find the LCM of 27 and 6.
  39. 39.Find the HCF of 48 and 18.
  40. 40.Find the LCM of 54 and 24.

Answer key

  1. 30
  2. 13
  3. 15
  4. 11
  5. 7
  6. 126
  7. 5
  8. 60
  9. 60
  10. 36
  11. 105
  12. 24
  13. 15
  14. 132
  15. 3
  16. 63
  17. 30
  18. 45
  19. 24
  20. 60
  21. 18
  22. 56
  23. 24
  24. 3
  25. 21
  26. 210
  27. 140
  28. 42
  29. 5
  30. 18
  31. 56
  32. 20
  33. 18
  34. 144
  35. 11
  36. 132
  37. 84
  38. 54
  39. 6
  40. 216

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