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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 342 · 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 9, 2 and 14.
  2. 2.Find the HCF of 56 and 35.
  3. 3.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 35. What is the other number?
  4. 4.Find the LCM of 4, 6 and 2.
  5. 5.Find the LCM of 3, 9 and 4.
  6. 6.Find the HCF of 15 and 12.
  7. 7.Find the HCF of 60 and 45.
  8. 8.The HCF of two numbers is 5 and their LCM is 105. One of the numbers is 15. What is the other number?
  9. 9.The HCF of two numbers is 6 and their LCM is 108. One of the numbers is 12. What is the other number?
  10. 10.Find the LCM of 6, 5 and 2.
  11. 11.The HCF of two numbers is 8 and their LCM is 224. One of the numbers is 32. What is the other number?
  12. 12.Find the HCF of 36 and 30.
  13. 13.The HCF of two numbers is 2 and their LCM is 28. One of the numbers is 4. What is the other number?
  14. 14.Find the HCF of 63 and 56.
  15. 15.Find the HCF of 99 and 88.
  16. 16.Find the LCM of 12 and 18.
  17. 17.The HCF of two numbers is 6 and their LCM is 126. One of the numbers is 18. What is the other number?
  18. 18.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  19. 19.Find the HCF of 50 and 30.
  20. 20.The HCF of two numbers is 7 and their LCM is 168. One of the numbers is 21. What is the other number?
  21. 21.Find the LCM of 40 and 15.
  22. 22.Find the LCM of 32 and 20.
  23. 23.The HCF of two numbers is 9 and their LCM is 360. One of the numbers is 72. What is the other number?
  24. 24.Find the LCM of 3 and 5.
  25. 25.The HCF of two numbers is 4 and their LCM is 140. One of the numbers is 28. What is the other number?
  26. 26.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  27. 27.Find the LCM of 11, 5 and 4.
  28. 28.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 6. What is the other number?
  29. 29.Find the LCM of 3 and 8.
  30. 30.Find the LCM of 8 and 3.
  31. 31.Find the LCM of 18 and 15.
  32. 32.Find the HCF of 72 and 27.
  33. 33.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 16. What is the other number?
  34. 34.Find the LCM of 4, 2 and 12.
  35. 35.Find the LCM of 11, 4 and 3.
  36. 36.The HCF of two numbers is 5 and their LCM is 70. One of the numbers is 10. What is the other number?
  37. 37.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  38. 38.Find the HCF of 70 and 126.
  39. 39.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?
  40. 40.Find the LCM of 11, 14 and 7.

Answer key

  1. 126
  2. 7
  3. 42
  4. 12
  5. 36
  6. 3
  7. 15
  8. 35
  9. 54
  10. 30
  11. 56
  12. 6
  13. 14
  14. 7
  15. 11
  16. 36
  17. 42
  18. 32
  19. 10
  20. 56
  21. 120
  22. 160
  23. 45
  24. 15
  25. 20
  26. 15
  27. 220
  28. 9
  29. 24
  30. 24
  31. 90
  32. 9
  33. 12
  34. 12
  35. 132
  36. 35
  37. 24
  38. 14
  39. 20
  40. 154

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