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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 881 · 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 8 and 14.
  2. 2.Find the HCF of 64 and 24.
  3. 3.The HCF of two numbers is 6 and their LCM is 144. One of the numbers is 18. What is the other number?
  4. 4.Find the LCM of 20 and 32.
  5. 5.Find the HCF of 14 and 4.
  6. 6.Find the LCM of 2, 3 and 8.
  7. 7.Find the LCM of 14 and 18.
  8. 8.Find the LCM of 6, 2 and 11.
  9. 9.Find the HCF of 45 and 35.
  10. 10.The HCF of two numbers is 7 and their LCM is 392. One of the numbers is 56. What is the other number?
  11. 11.Find the HCF of 63 and 18.
  12. 12.Find the LCM of 9, 10 and 5.
  13. 13.Find the LCM of 3, 14 and 4.
  14. 14.Find the HCF of 15 and 12.
  15. 15.Find the LCM of 2, 10 and 8.
  16. 16.Find the HCF of 77 and 33.
  17. 17.Find the LCM of 13, 5 and 3.
  18. 18.Find the LCM of 9, 4 and 5.
  19. 19.Find the LCM of 14, 2 and 6.
  20. 20.Find the HCF of 25 and 40.
  21. 21.Find the LCM of 8 and 28.
  22. 22.Find the LCM of 5, 14 and 10.
  23. 23.Find the LCM of 3 and 5.
  24. 24.Find the LCM of 6 and 10.
  25. 25.Find the LCM of 14 and 16.
  26. 26.The HCF of two numbers is 3 and their LCM is 72. One of the numbers is 24. What is the other number?
  27. 27.Find the LCM of 35 and 20.
  28. 28.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  29. 29.The HCF of two numbers is 6 and their LCM is 72. One of the numbers is 18. What is the other number?
  30. 30.The HCF of two numbers is 9 and their LCM is 315. One of the numbers is 45. What is the other number?
  31. 31.Find the LCM of 4, 11 and 8.
  32. 32.The HCF of two numbers is 4 and their LCM is 224. One of the numbers is 28. What is the other number?
  33. 33.Find the LCM of 3, 7 and 10.
  34. 34.Find the LCM of 4 and 14.
  35. 35.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  36. 36.Find the LCM of 3, 12 and 6.
  37. 37.The HCF of two numbers is 2 and their LCM is 72. One of the numbers is 18. What is the other number?
  38. 38.Find the HCF of 50 and 30.
  39. 39.Find the HCF of 98 and 126.
  40. 40.Find the LCM of 10, 9 and 3.

Answer key

  1. 56
  2. 8
  3. 48
  4. 160
  5. 2
  6. 24
  7. 126
  8. 66
  9. 5
  10. 49
  11. 9
  12. 90
  13. 84
  14. 3
  15. 40
  16. 11
  17. 195
  18. 180
  19. 42
  20. 5
  21. 56
  22. 70
  23. 15
  24. 30
  25. 112
  26. 9
  27. 140
  28. 20
  29. 24
  30. 63
  31. 88
  32. 32
  33. 210
  34. 28
  35. 14
  36. 12
  37. 8
  38. 10
  39. 14
  40. 90

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