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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 584 · 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 42 and 12.
  2. 2.Find the LCM of 10 and 25.
  3. 3.Find the HCF of 45 and 25.
  4. 4.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  5. 5.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  6. 6.Find the HCF of 21 and 6.
  7. 7.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  8. 8.Find the HCF of 20 and 8.
  9. 9.The HCF of two numbers is 7 and their LCM is 315. One of the numbers is 35. What is the other number?
  10. 10.Find the LCM of 5, 3 and 15.
  11. 11.Find the HCF of 55 and 44.
  12. 12.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 63. What is the other number?
  13. 13.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  14. 14.Find the LCM of 12, 3 and 4.
  15. 15.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  16. 16.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  17. 17.The HCF of two numbers is 2 and their LCM is 24. One of the numbers is 8. What is the other number?
  18. 18.Find the HCF of 98 and 84.
  19. 19.Find the LCM of 32 and 12.
  20. 20.Find the LCM of 8, 14 and 12.
  21. 21.Find the LCM of 8 and 18.
  22. 22.Find the LCM of 42 and 48.
  23. 23.Find the LCM of 25 and 10.
  24. 24.Find the HCF of 32 and 36.
  25. 25.Find the HCF of 30 and 12.
  26. 26.Find the LCM of 10, 9 and 6.
  27. 27.The HCF of two numbers is 6 and their LCM is 120. One of the numbers is 30. What is the other number?
  28. 28.Find the LCM of 12, 7 and 8.
  29. 29.Find the LCM of 2, 3 and 4.
  30. 30.Find the HCF of 40 and 72.
  31. 31.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  32. 32.Find the LCM of 54 and 24.
  33. 33.Find the LCM of 6, 14 and 3.
  34. 34.Find the LCM of 9, 3 and 6.
  35. 35.Find the LCM of 16 and 14.
  36. 36.Find the HCF of 88 and 33.
  37. 37.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 40. What is the other number?
  38. 38.Find the HCF of 90 and 50.
  39. 39.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 56. What is the other number?
  40. 40.Find the LCM of 30 and 25.

Answer key

  1. 84
  2. 50
  3. 5
  4. 30
  5. 9
  6. 3
  7. 20
  8. 4
  9. 63
  10. 15
  11. 11
  12. 72
  13. 54
  14. 12
  15. 63
  16. 6
  17. 6
  18. 14
  19. 96
  20. 168
  21. 72
  22. 336
  23. 50
  24. 4
  25. 6
  26. 90
  27. 24
  28. 168
  29. 12
  30. 8
  31. 25
  32. 216
  33. 42
  34. 18
  35. 112
  36. 11
  37. 24
  38. 10
  39. 40
  40. 150

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