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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 848 · 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 2 and 9.
  2. 2.Find the LCM of 11, 7 and 3.
  3. 3.Find the HCF of 30 and 75.
  4. 4.The HCF of two numbers is 4 and their LCM is 24. One of the numbers is 12. What is the other number?
  5. 5.Find the LCM of 14 and 6.
  6. 6.The HCF of two numbers is 9 and their LCM is 90. One of the numbers is 18. What is the other number?
  7. 7.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  8. 8.Find the LCM of 2, 6 and 4.
  9. 9.Find the LCM of 5, 12 and 4.
  10. 10.The HCF of two numbers is 8 and their LCM is 240. One of the numbers is 48. What is the other number?
  11. 11.Find the LCM of 12, 15 and 5.
  12. 12.Find the LCM of 28 and 20.
  13. 13.The HCF of two numbers is 8 and their LCM is 144. One of the numbers is 16. What is the other number?
  14. 14.Find the HCF of 35 and 45.
  15. 15.Find the HCF of 72 and 64.
  16. 16.Find the HCF of 35 and 14.
  17. 17.Find the LCM of 5 and 6.
  18. 18.Find the LCM of 30 and 35.
  19. 19.Find the LCM of 12, 4 and 8.
  20. 20.The HCF of two numbers is 6 and their LCM is 90. One of the numbers is 30. What is the other number?
  21. 21.Find the HCF of 10 and 15.
  22. 22.Find the HCF of 6 and 21.
  23. 23.Find the LCM of 7 and 3.
  24. 24.Find the LCM of 12 and 8.
  25. 25.Find the LCM of 5, 15 and 12.
  26. 26.The HCF of two numbers is 9 and their LCM is 252. One of the numbers is 63. What is the other number?
  27. 27.Find the LCM of 10, 2 and 6.
  28. 28.Find the LCM of 12, 3 and 2.
  29. 29.Find the LCM of 10 and 15.
  30. 30.Find the HCF of 63 and 36.
  31. 31.The HCF of two numbers is 7 and their LCM is 210. One of the numbers is 42. What is the other number?
  32. 32.Find the LCM of 10 and 6.
  33. 33.Find the LCM of 14, 2 and 6.
  34. 34.Find the LCM of 3, 9 and 2.
  35. 35.Find the HCF of 15 and 27.
  36. 36.Find the HCF of 65 and 91.
  37. 37.The HCF of two numbers is 4 and their LCM is 40. One of the numbers is 20. What is the other number?
  38. 38.Find the LCM of 3, 12 and 5.
  39. 39.The HCF of two numbers is 9 and their LCM is 189. One of the numbers is 27. What is the other number?
  40. 40.The HCF of two numbers is 5 and their LCM is 100. One of the numbers is 25. What is the other number?

Answer key

  1. 18
  2. 231
  3. 15
  4. 8
  5. 42
  6. 45
  7. 15
  8. 12
  9. 60
  10. 40
  11. 60
  12. 140
  13. 72
  14. 5
  15. 8
  16. 7
  17. 30
  18. 210
  19. 24
  20. 18
  21. 5
  22. 3
  23. 21
  24. 24
  25. 60
  26. 36
  27. 30
  28. 12
  29. 30
  30. 9
  31. 35
  32. 30
  33. 42
  34. 18
  35. 3
  36. 13
  37. 8
  38. 60
  39. 63
  40. 20

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