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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 664 · 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 9 and their LCM is 189. One of the numbers is 63. What is the other number?
  2. 2.Find the LCM of 5, 3 and 9.
  3. 3.Find the HCF of 105 and 45.
  4. 4.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 16. What is the other number?
  5. 5.Find the LCM of 7 and 5.
  6. 6.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 32. What is the other number?
  7. 7.Find the HCF of 20 and 36.
  8. 8.Find the LCM of 27 and 15.
  9. 9.Find the HCF of 60 and 135.
  10. 10.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  11. 11.The HCF of two numbers is 8 and their LCM is 280. One of the numbers is 40. What is the other number?
  12. 12.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 27. What is the other number?
  13. 13.Find the LCM of 11, 6 and 2.
  14. 14.Find the LCM of 16 and 6.
  15. 15.Find the HCF of 12 and 18.
  16. 16.The HCF of two numbers is 3 and their LCM is 105. One of the numbers is 15. What is the other number?
  17. 17.Find the LCM of 9 and 4.
  18. 18.Find the LCM of 8 and 6.
  19. 19.Find the LCM of 54 and 42.
  20. 20.The HCF of two numbers is 4 and their LCM is 180. One of the numbers is 20. What is the other number?
  21. 21.Find the LCM of 7 and 3.
  22. 22.Find the HCF of 21 and 12.
  23. 23.Find the LCM of 4 and 9.
  24. 24.Find the LCM of 4 and 6.
  25. 25.Find the LCM of 13, 6 and 3.
  26. 26.Find the LCM of 9 and 5.
  27. 27.Find the LCM of 4, 7 and 10.
  28. 28.Find the LCM of 21 and 9.
  29. 29.Find the HCF of 14 and 21.
  30. 30.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  31. 31.Find the LCM of 4, 8 and 2.
  32. 32.Find the LCM of 4, 6 and 9.
  33. 33.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 14. What is the other number?
  34. 34.Find the LCM of 6 and 15.
  35. 35.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  36. 36.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 45. What is the other number?
  37. 37.Find the HCF of 63 and 28.
  38. 38.The HCF of two numbers is 4 and their LCM is 160. One of the numbers is 20. What is the other number?
  39. 39.Find the LCM of 14, 6 and 4.
  40. 40.Find the LCM of 10, 15 and 6.

Answer key

  1. 27
  2. 45
  3. 15
  4. 14
  5. 35
  6. 20
  7. 4
  8. 135
  9. 15
  10. 10
  11. 56
  12. 18
  13. 66
  14. 48
  15. 6
  16. 21
  17. 36
  18. 24
  19. 378
  20. 36
  21. 21
  22. 3
  23. 36
  24. 12
  25. 78
  26. 45
  27. 140
  28. 63
  29. 7
  30. 27
  31. 8
  32. 36
  33. 49
  34. 30
  35. 20
  36. 20
  37. 7
  38. 32
  39. 84
  40. 30

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