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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 322 · 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, 9 and 7.
  2. 2.Find the LCM of 9 and 6.
  3. 3.The HCF of two numbers is 4 and their LCM is 168. One of the numbers is 24. What is the other number?
  4. 4.Find the HCF of 4 and 18.
  5. 5.The HCF of two numbers is 2 and their LCM is 84. One of the numbers is 12. What is the other number?
  6. 6.Find the LCM of 3, 11 and 2.
  7. 7.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  8. 8.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  9. 9.Find the LCM of 21 and 6.
  10. 10.Find the LCM of 35 and 10.
  11. 11.Find the LCM of 4, 15 and 12.
  12. 12.The HCF of two numbers is 9 and their LCM is 162. One of the numbers is 18. What is the other number?
  13. 13.Find the LCM of 5, 15 and 2.
  14. 14.Find the LCM of 6, 15 and 2.
  15. 15.The HCF of two numbers is 2 and their LCM is 36. One of the numbers is 4. What is the other number?
  16. 16.Find the LCM of 14 and 6.
  17. 17.Find the LCM of 9, 3 and 13.
  18. 18.Find the HCF of 27 and 45.
  19. 19.Find the LCM of 10 and 16.
  20. 20.Find the LCM of 10 and 15.
  21. 21.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 8. What is the other number?
  22. 22.Find the LCM of 10 and 8.
  23. 23.Find the HCF of 70 and 80.
  24. 24.Find the HCF of 65 and 78.
  25. 25.Find the HCF of 84 and 48.
  26. 26.Find the LCM of 36 and 16.
  27. 27.Find the LCM of 2, 9 and 6.
  28. 28.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  29. 29.The HCF of two numbers is 5 and their LCM is 225. One of the numbers is 45. What is the other number?
  30. 30.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 40. What is the other number?
  31. 31.Find the LCM of 11, 4 and 8.
  32. 32.Find the LCM of 15, 4 and 8.
  33. 33.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 20. What is the other number?
  34. 34.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  35. 35.Find the LCM of 10, 3 and 14.
  36. 36.Find the HCF of 65 and 52.
  37. 37.Find the HCF of 65 and 104.
  38. 38.The HCF of two numbers is 2 and their LCM is 112. One of the numbers is 14. What is the other number?
  39. 39.Find the LCM of 35 and 20.
  40. 40.The HCF of two numbers is 6 and their LCM is 240. One of the numbers is 30. What is the other number?

Answer key

  1. 126
  2. 18
  3. 28
  4. 2
  5. 14
  6. 66
  7. 18
  8. 45
  9. 42
  10. 70
  11. 60
  12. 81
  13. 30
  14. 30
  15. 18
  16. 42
  17. 117
  18. 9
  19. 80
  20. 30
  21. 18
  22. 40
  23. 10
  24. 13
  25. 12
  26. 144
  27. 18
  28. 42
  29. 25
  30. 48
  31. 88
  32. 120
  33. 35
  34. 10
  35. 210
  36. 13
  37. 13
  38. 16
  39. 140
  40. 48

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