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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 603 · 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 11, 5 and 3.
  2. 2.The HCF of two numbers is 5 and their LCM is 200. One of the numbers is 40. What is the other number?
  3. 3.Find the HCF of 10 and 15.
  4. 4.Find the LCM of 4 and 3.
  5. 5.Find the LCM of 30 and 36.
  6. 6.Find the HCF of 80 and 70.
  7. 7.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 28. What is the other number?
  8. 8.The HCF of two numbers is 3 and their LCM is 90. One of the numbers is 15. What is the other number?
  9. 9.Find the HCF of 18 and 81.
  10. 10.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  11. 11.Find the LCM of 24 and 27.
  12. 12.Find the LCM of 3, 7 and 15.
  13. 13.The HCF of two numbers is 5 and their LCM is 210. One of the numbers is 35. What is the other number?
  14. 14.Find the LCM of 3 and 2.
  15. 15.Find the LCM of 5 and 8.
  16. 16.Find the HCF of 21 and 49.
  17. 17.Find the LCM of 10, 5 and 13.
  18. 18.Find the LCM of 9 and 4.
  19. 19.Find the LCM of 6, 5 and 2.
  20. 20.Find the HCF of 35 and 40.
  21. 21.Find the LCM of 5 and 2.
  22. 22.Find the HCF of 32 and 36.
  23. 23.The HCF of two numbers is 4 and their LCM is 80. One of the numbers is 20. What is the other number?
  24. 24.Find the LCM of 18 and 15.
  25. 25.Find the HCF of 28 and 63.
  26. 26.Find the LCM of 2, 4 and 9.
  27. 27.Find the LCM of 10, 7 and 5.
  28. 28.The HCF of two numbers is 2 and their LCM is 48. One of the numbers is 16. What is the other number?
  29. 29.The HCF of two numbers is 5 and their LCM is 120. One of the numbers is 15. What is the other number?
  30. 30.Find the LCM of 18 and 30.
  31. 31.Find the LCM of 4, 12 and 5.
  32. 32.Find the HCF of 28 and 35.
  33. 33.Find the LCM of 5, 2 and 9.
  34. 34.Find the HCF of 6 and 27.
  35. 35.Find the LCM of 12, 10 and 15.
  36. 36.Find the HCF of 16 and 28.
  37. 37.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 25. What is the other number?
  38. 38.Find the LCM of 28 and 12.
  39. 39.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  40. 40.Find the LCM of 2 and 7.

Answer key

  1. 165
  2. 25
  3. 5
  4. 12
  5. 180
  6. 10
  7. 21
  8. 18
  9. 9
  10. 30
  11. 216
  12. 105
  13. 30
  14. 6
  15. 40
  16. 7
  17. 130
  18. 36
  19. 30
  20. 5
  21. 10
  22. 4
  23. 16
  24. 90
  25. 7
  26. 36
  27. 70
  28. 6
  29. 40
  30. 90
  31. 60
  32. 7
  33. 90
  34. 3
  35. 60
  36. 4
  37. 30
  38. 84
  39. 35
  40. 14

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