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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 844 · 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 3, 9 and 7.
  2. 2.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 40. What is the other number?
  3. 3.The HCF of two numbers is 3 and their LCM is 126. One of the numbers is 21. What is the other number?
  4. 4.Find the LCM of 27 and 24.
  5. 5.Find the LCM of 10 and 35.
  6. 6.Find the LCM of 4, 2 and 9.
  7. 7.Find the HCF of 4 and 14.
  8. 8.Find the LCM of 48 and 54.
  9. 9.Find the LCM of 7, 15 and 10.
  10. 10.Find the LCM of 2, 12 and 15.
  11. 11.Find the LCM of 15 and 12.
  12. 12.Find the HCF of 12 and 8.
  13. 13.The HCF of two numbers is 2 and their LCM is 80. One of the numbers is 10. What is the other number?
  14. 14.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 4. What is the other number?
  15. 15.Find the LCM of 5, 4 and 9.
  16. 16.Find the HCF of 21 and 56.
  17. 17.Find the HCF of 70 and 80.
  18. 18.Find the LCM of 18 and 42.
  19. 19.Find the LCM of 7 and 9.
  20. 20.Find the LCM of 6, 15 and 8.
  21. 21.Find the LCM of 9, 2 and 5.
  22. 22.Find the LCM of 7 and 6.
  23. 23.Find the LCM of 15 and 40.
  24. 24.The HCF of two numbers is 8 and their LCM is 504. One of the numbers is 56. What is the other number?
  25. 25.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  26. 26.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 18. What is the other number?
  27. 27.Find the LCM of 24 and 21.
  28. 28.Find the LCM of 14, 7 and 10.
  29. 29.Find the HCF of 65 and 39.
  30. 30.Find the LCM of 4, 15 and 10.
  31. 31.Find the HCF of 12 and 28.
  32. 32.Find the LCM of 32 and 28.
  33. 33.Find the LCM of 15, 13 and 3.
  34. 34.Find the LCM of 30 and 36.
  35. 35.Find the LCM of 15, 12 and 6.
  36. 36.Find the HCF of 24 and 42.
  37. 37.Find the HCF of 27 and 24.
  38. 38.Find the LCM of 8, 6 and 10.
  39. 39.Find the LCM of 3 and 7.
  40. 40.Find the LCM of 8 and 6.

Answer key

  1. 63
  2. 32
  3. 18
  4. 216
  5. 70
  6. 36
  7. 2
  8. 432
  9. 210
  10. 60
  11. 60
  12. 4
  13. 16
  14. 10
  15. 180
  16. 7
  17. 10
  18. 126
  19. 63
  20. 120
  21. 90
  22. 42
  23. 120
  24. 72
  25. 10
  26. 30
  27. 168
  28. 70
  29. 13
  30. 60
  31. 4
  32. 224
  33. 195
  34. 180
  35. 60
  36. 6
  37. 3
  38. 120
  39. 21
  40. 24

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