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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 503 · 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 6 and 8.
  2. 2.Find the HCF of 24 and 28.
  3. 3.Find the LCM of 6, 11 and 4.
  4. 4.Find the LCM of 11, 3 and 2.
  5. 5.Find the LCM of 8 and 14.
  6. 6.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  7. 7.Find the HCF of 35 and 56.
  8. 8.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  9. 9.Find the LCM of 12, 8 and 5.
  10. 10.Find the LCM of 10 and 25.
  11. 11.Find the LCM of 8, 4 and 14.
  12. 12.Find the LCM of 4 and 7.
  13. 13.The HCF of two numbers is 8 and their LCM is 192. One of the numbers is 24. What is the other number?
  14. 14.Find the HCF of 10 and 16.
  15. 15.Find the HCF of 35 and 30.
  16. 16.Find the HCF of 40 and 48.
  17. 17.Find the HCF of 84 and 24.
  18. 18.The HCF of two numbers is 5 and their LCM is 280. One of the numbers is 35. What is the other number?
  19. 19.Find the HCF of 55 and 44.
  20. 20.Find the HCF of 32 and 24.
  21. 21.Find the HCF of 39 and 26.
  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 15, 14 and 5.
  24. 24.Find the LCM of 18 and 4.
  25. 25.Find the LCM of 3, 5 and 13.
  26. 26.The HCF of two numbers is 9 and their LCM is 108. One of the numbers is 27. What is the other number?
  27. 27.Find the LCM of 5, 2 and 3.
  28. 28.Find the LCM of 2, 6 and 10.
  29. 29.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 36. What is the other number?
  30. 30.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 10. What is the other number?
  31. 31.Find the HCF of 40 and 50.
  32. 32.Find the HCF of 16 and 24.
  33. 33.Find the HCF of 50 and 20.
  34. 34.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  35. 35.Find the LCM of 14, 3 and 9.
  36. 36.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  37. 37.Find the LCM of 13, 2 and 9.
  38. 38.Find the LCM of 8 and 3.
  39. 39.Find the LCM of 4, 12 and 5.
  40. 40.Find the HCF of 35 and 28.

Answer key

  1. 24
  2. 4
  3. 132
  4. 66
  5. 56
  6. 18
  7. 7
  8. 45
  9. 120
  10. 50
  11. 56
  12. 28
  13. 64
  14. 2
  15. 5
  16. 8
  17. 12
  18. 40
  19. 11
  20. 8
  21. 13
  22. 63
  23. 210
  24. 36
  25. 195
  26. 36
  27. 30
  28. 30
  29. 63
  30. 25
  31. 10
  32. 8
  33. 10
  34. 35
  35. 126
  36. 63
  37. 234
  38. 24
  39. 60
  40. 7

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