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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 529 · 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 24 and 30.
  2. 2.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 15. What is the other number?
  3. 3.Find the LCM of 20 and 28.
  4. 4.Find the HCF of 45 and 27.
  5. 5.Find the LCM of 4 and 5.
  6. 6.The HCF of two numbers is 3 and their LCM is 189. One of the numbers is 21. What is the other number?
  7. 7.Find the HCF of 55 and 77.
  8. 8.Find the HCF of 14 and 21.
  9. 9.Find the HCF of 48 and 18.
  10. 10.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 81. What is the other number?
  11. 11.Find the LCM of 12, 3 and 4.
  12. 12.Find the HCF of 42 and 12.
  13. 13.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  14. 14.Find the LCM of 7, 2 and 4.
  15. 15.Find the LCM of 6, 5 and 14.
  16. 16.Find the LCM of 2, 4 and 3.
  17. 17.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  18. 18.Find the LCM of 24 and 9.
  19. 19.Find the LCM of 6, 4 and 11.
  20. 20.Find the HCF of 50 and 60.
  21. 21.Find the HCF of 126 and 98.
  22. 22.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  23. 23.Find the LCM of 35 and 15.
  24. 24.Find the LCM of 3, 4 and 9.
  25. 25.Find the HCF of 20 and 90.
  26. 26.Find the HCF of 35 and 14.
  27. 27.Find the HCF of 80 and 50.
  28. 28.Find the LCM of 12, 13 and 2.
  29. 29.Find the LCM of 10 and 45.
  30. 30.The HCF of two numbers is 6 and their LCM is 432. One of the numbers is 54. What is the other number?
  31. 31.Find the LCM of 9, 2 and 5.
  32. 32.Find the HCF of 60 and 36.
  33. 33.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 15. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 15. What is the other number?
  35. 35.The HCF of two numbers is 4 and their LCM is 252. One of the numbers is 28. What is the other number?
  36. 36.Find the LCM of 5, 9 and 4.
  37. 37.Find the HCF of 10 and 18.
  38. 38.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 24. What is the other number?
  39. 39.Find the HCF of 56 and 42.
  40. 40.Find the LCM of 4, 3 and 15.

Answer key

  1. 120
  2. 20
  3. 140
  4. 9
  5. 20
  6. 27
  7. 11
  8. 7
  9. 6
  10. 18
  11. 12
  12. 6
  13. 20
  14. 28
  15. 210
  16. 12
  17. 30
  18. 72
  19. 132
  20. 10
  21. 14
  22. 24
  23. 105
  24. 36
  25. 10
  26. 7
  27. 10
  28. 156
  29. 90
  30. 48
  31. 90
  32. 12
  33. 6
  34. 12
  35. 36
  36. 180
  37. 2
  38. 30
  39. 14
  40. 60

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