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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 799 · 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, 11 and 8.
  2. 2.The HCF of two numbers is 3 and their LCM is 30. One of the numbers is 6. What is the other number?
  3. 3.Find the LCM of 20 and 15.
  4. 4.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  5. 5.Find the HCF of 27 and 18.
  6. 6.Find the LCM of 14 and 6.
  7. 7.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 6. What is the other number?
  8. 8.The HCF of two numbers is 7 and their LCM is 441. One of the numbers is 63. What is the other number?
  9. 9.Find the LCM of 10, 15 and 7.
  10. 10.Find the HCF of 99 and 55.
  11. 11.Find the LCM of 4, 8 and 5.
  12. 12.The HCF of two numbers is 9 and their LCM is 270. One of the numbers is 54. What is the other number?
  13. 13.Find the LCM of 3, 6 and 10.
  14. 14.Find the LCM of 2, 6 and 10.
  15. 15.The HCF of two numbers is 2 and their LCM is 30. One of the numbers is 10. What is the other number?
  16. 16.Find the HCF of 44 and 55.
  17. 17.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  18. 18.Find the HCF of 49 and 42.
  19. 19.Find the LCM of 8, 5 and 15.
  20. 20.Find the HCF of 10 and 25.
  21. 21.Find the HCF of 52 and 91.
  22. 22.The HCF of two numbers is 4 and their LCM is 48. One of the numbers is 12. What is the other number?
  23. 23.Find the LCM of 5, 10 and 4.
  24. 24.Find the LCM of 3 and 7.
  25. 25.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  26. 26.Find the LCM of 3 and 2.
  27. 27.The HCF of two numbers is 8 and their LCM is 160. One of the numbers is 32. What is the other number?
  28. 28.Find the LCM of 48 and 30.
  29. 29.The HCF of two numbers is 3 and their LCM is 54. One of the numbers is 27. What is the other number?
  30. 30.Find the LCM of 10, 8 and 6.
  31. 31.The HCF of two numbers is 7 and their LCM is 84. One of the numbers is 21. What is the other number?
  32. 32.The HCF of two numbers is 5 and their LCM is 50. One of the numbers is 25. What is the other number?
  33. 33.Find the HCF of 54 and 42.
  34. 34.Find the HCF of 60 and 45.
  35. 35.Find the LCM of 10, 14 and 6.
  36. 36.Find the HCF of 15 and 12.
  37. 37.Find the LCM of 15 and 24.
  38. 38.Find the HCF of 90 and 70.
  39. 39.Find the LCM of 3, 7 and 10.
  40. 40.Find the LCM of 8 and 7.

Answer key

  1. 88
  2. 15
  3. 60
  4. 12
  5. 9
  6. 42
  7. 10
  8. 49
  9. 210
  10. 11
  11. 40
  12. 45
  13. 30
  14. 30
  15. 6
  16. 11
  17. 28
  18. 7
  19. 120
  20. 5
  21. 13
  22. 16
  23. 20
  24. 21
  25. 45
  26. 6
  27. 40
  28. 240
  29. 6
  30. 120
  31. 28
  32. 10
  33. 6
  34. 15
  35. 210
  36. 3
  37. 120
  38. 10
  39. 210
  40. 56

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