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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 195 · 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 and 7.
  2. 2.The HCF of two numbers is 3 and their LCM is 84. One of the numbers is 12. What is the other number?
  3. 3.Find the LCM of 14, 7 and 2.
  4. 4.Find the HCF of 9 and 12.
  5. 5.Find the LCM of 10, 2 and 11.
  6. 6.Find the LCM of 15, 2 and 9.
  7. 7.Find the LCM of 3, 7 and 10.
  8. 8.Find the LCM of 6 and 4.
  9. 9.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  10. 10.Find the LCM of 20 and 25.
  11. 11.Find the LCM of 15 and 20.
  12. 12.Find the HCF of 45 and 36.
  13. 13.Find the LCM of 6, 3 and 12.
  14. 14.Find the HCF of 30 and 48.
  15. 15.The HCF of two numbers is 7 and their LCM is 105. One of the numbers is 21. What is the other number?
  16. 16.The HCF of two numbers is 9 and their LCM is 54. One of the numbers is 18. What is the other number?
  17. 17.Find the HCF of 33 and 22.
  18. 18.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 14. What is the other number?
  19. 19.Find the LCM of 5, 6 and 3.
  20. 20.Find the LCM of 2, 8 and 10.
  21. 21.Find the LCM of 9, 13 and 6.
  22. 22.Find the LCM of 4, 5 and 6.
  23. 23.The HCF of two numbers is 3 and their LCM is 108. One of the numbers is 27. What is the other number?
  24. 24.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 63. What is the other number?
  25. 25.Find the HCF of 99 and 88.
  26. 26.Find the HCF of 40 and 48.
  27. 27.Find the LCM of 7, 2 and 9.
  28. 28.Find the LCM of 8, 4 and 14.
  29. 29.Find the HCF of 88 and 33.
  30. 30.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  31. 31.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  32. 32.Find the LCM of 3, 9 and 12.
  33. 33.The HCF of two numbers is 4 and their LCM is 144. One of the numbers is 16. What is the other number?
  34. 34.Find the LCM of 36 and 32.
  35. 35.Find the LCM of 16 and 12.
  36. 36.The HCF of two numbers is 8 and their LCM is 120. One of the numbers is 24. What is the other number?
  37. 37.Find the LCM of 25 and 20.
  38. 38.The HCF of two numbers is 2 and their LCM is 42. One of the numbers is 6. What is the other number?
  39. 39.Find the LCM of 13, 3 and 15.
  40. 40.Find the LCM of 36 and 28.

Answer key

  1. 42
  2. 21
  3. 14
  4. 3
  5. 110
  6. 90
  7. 210
  8. 12
  9. 32
  10. 100
  11. 60
  12. 9
  13. 12
  14. 6
  15. 35
  16. 27
  17. 11
  18. 35
  19. 30
  20. 40
  21. 234
  22. 60
  23. 12
  24. 18
  25. 11
  26. 8
  27. 126
  28. 56
  29. 11
  30. 8
  31. 14
  32. 36
  33. 36
  34. 288
  35. 48
  36. 40
  37. 100
  38. 14
  39. 195
  40. 252

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