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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 499 · 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 15, 4 and 5.
  2. 2.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  3. 3.Find the LCM of 21 and 12.
  4. 4.Find the LCM of 4 and 7.
  5. 5.Find the LCM of 6, 2 and 8.
  6. 6.Find the HCF of 15 and 27.
  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.Find the LCM of 11, 7 and 14.
  9. 9.Find the HCF of 88 and 33.
  10. 10.Find the HCF of 14 and 35.
  11. 11.Find the LCM of 9, 2 and 14.
  12. 12.The HCF of two numbers is 8 and their LCM is 96. One of the numbers is 24. What is the other number?
  13. 13.Find the LCM of 25 and 40.
  14. 14.Find the LCM of 7, 3 and 11.
  15. 15.Find the LCM of 14, 13 and 2.
  16. 16.Find the HCF of 72 and 60.
  17. 17.Find the LCM of 7 and 5.
  18. 18.Find the HCF of 30 and 80.
  19. 19.Find the LCM of 13, 2 and 9.
  20. 20.Find the LCM of 2, 15 and 6.
  21. 21.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  22. 22.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  23. 23.Find the LCM of 3, 2 and 5.
  24. 24.Find the HCF of 84 and 96.
  25. 25.Find the LCM of 42 and 24.
  26. 26.Find the LCM of 12, 4 and 14.
  27. 27.Find the LCM of 9, 11 and 6.
  28. 28.Find the LCM of 8 and 9.
  29. 29.Find the LCM of 15, 6 and 4.
  30. 30.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  31. 31.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 18. What is the other number?
  32. 32.Find the LCM of 4, 3 and 7.
  33. 33.Find the LCM of 10 and 25.
  34. 34.Find the LCM of 2, 3 and 6.
  35. 35.Find the LCM of 9 and 8.
  36. 36.Find the HCF of 98 and 56.
  37. 37.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 16. What is the other number?
  38. 38.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 12. What is the other number?
  39. 39.The HCF of two numbers is 3 and their LCM is 36. One of the numbers is 9. What is the other number?
  40. 40.Find the HCF of 64 and 40.

Answer key

  1. 60
  2. 6
  3. 84
  4. 28
  5. 24
  6. 3
  7. 21
  8. 154
  9. 11
  10. 7
  11. 126
  12. 32
  13. 200
  14. 231
  15. 182
  16. 12
  17. 35
  18. 10
  19. 234
  20. 30
  21. 14
  22. 42
  23. 30
  24. 12
  25. 168
  26. 84
  27. 198
  28. 72
  29. 60
  30. 64
  31. 21
  32. 84
  33. 50
  34. 6
  35. 72
  36. 14
  37. 10
  38. 9
  39. 12
  40. 8

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