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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 35 · 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.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  2. 2.Find the LCM of 14 and 18.
  3. 3.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 6. What is the other number?
  4. 4.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 32. What is the other number?
  5. 5.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 9. What is the other number?
  6. 6.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  7. 7.Find the HCF of 50 and 70.
  8. 8.Find the LCM of 9, 6 and 2.
  9. 9.Find the HCF of 25 and 30.
  10. 10.Find the LCM of 14, 2 and 4.
  11. 11.Find the LCM of 14 and 8.
  12. 12.Find the HCF of 90 and 75.
  13. 13.Find the LCM of 16 and 20.
  14. 14.Find the HCF of 45 and 25.
  15. 15.Find the LCM of 15, 13 and 3.
  16. 16.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  17. 17.Find the LCM of 14, 5 and 2.
  18. 18.Find the HCF of 14 and 18.
  19. 19.Find the HCF of 80 and 90.
  20. 20.Find the LCM of 9 and 24.
  21. 21.Find the HCF of 12 and 9.
  22. 22.Find the HCF of 45 and 105.
  23. 23.Find the HCF of 45 and 120.
  24. 24.Find the LCM of 18 and 24.
  25. 25.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  26. 26.Find the LCM of 24 and 30.
  27. 27.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  28. 28.Find the LCM of 9, 13 and 6.
  29. 29.Find the LCM of 2 and 5.
  30. 30.Find the LCM of 12, 2 and 13.
  31. 31.The HCF of two numbers is 4 and their LCM is 60. One of the numbers is 20. What is the other number?
  32. 32.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 24. What is the other number?
  33. 33.Find the LCM of 10 and 8.
  34. 34.Find the LCM of 15, 14 and 2.
  35. 35.Find the LCM of 15 and 6.
  36. 36.Find the LCM of 15 and 9.
  37. 37.Find the HCF of 16 and 12.
  38. 38.Find the LCM of 8 and 5.
  39. 39.The HCF of two numbers is 4 and their LCM is 120. One of the numbers is 20. What is the other number?
  40. 40.Find the LCM of 18 and 10.

Answer key

  1. 25
  2. 126
  3. 27
  4. 28
  5. 24
  6. 63
  7. 10
  8. 18
  9. 5
  10. 28
  11. 56
  12. 15
  13. 80
  14. 5
  15. 195
  16. 63
  17. 70
  18. 2
  19. 10
  20. 72
  21. 3
  22. 15
  23. 15
  24. 72
  25. 48
  26. 120
  27. 63
  28. 234
  29. 10
  30. 156
  31. 12
  32. 54
  33. 40
  34. 210
  35. 30
  36. 45
  37. 4
  38. 40
  39. 24
  40. 90

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