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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 982 · 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 7, 4 and 2.
  2. 2.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 45. What is the other number?
  3. 3.Find the LCM of 8 and 36.
  4. 4.The HCF of two numbers is 4 and their LCM is 84. One of the numbers is 12. What is the other number?
  5. 5.The HCF of two numbers is 5 and their LCM is 150. One of the numbers is 30. What is the other number?
  6. 6.The HCF of two numbers is 8 and their LCM is 48. One of the numbers is 16. What is the other number?
  7. 7.Find the LCM of 30 and 48.
  8. 8.Find the HCF of 10 and 15.
  9. 9.Find the LCM of 5, 12 and 9.
  10. 10.Find the HCF of 56 and 40.
  11. 11.Find the LCM of 9, 10 and 15.
  12. 12.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 64. What is the other number?
  13. 13.Find the HCF of 84 and 36.
  14. 14.Find the LCM of 9, 15 and 10.
  15. 15.Find the LCM of 12, 8 and 3.
  16. 16.Find the HCF of 98 and 126.
  17. 17.The HCF of two numbers is 7 and their LCM is 98. One of the numbers is 49. What is the other number?
  18. 18.Find the LCM of 8 and 3.
  19. 19.The HCF of two numbers is 3 and their LCM is 60. One of the numbers is 12. What is the other number?
  20. 20.Find the LCM of 7 and 2.
  21. 21.Find the HCF of 64 and 24.
  22. 22.The HCF of two numbers is 3 and their LCM is 120. One of the numbers is 24. What is the other number?
  23. 23.Find the LCM of 8 and 28.
  24. 24.The HCF of two numbers is 6 and their LCM is 216. One of the numbers is 54. What is the other number?
  25. 25.Find the LCM of 30 and 36.
  26. 26.Find the HCF of 63 and 49.
  27. 27.Find the HCF of 20 and 36.
  28. 28.Find the LCM of 8 and 12.
  29. 29.The HCF of two numbers is 2 and their LCM is 20. One of the numbers is 10. What is the other number?
  30. 30.The HCF of two numbers is 9 and their LCM is 126. One of the numbers is 18. What is the other number?
  31. 31.Find the HCF of 12 and 14.
  32. 32.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 10. What is the other number?
  33. 33.Find the LCM of 10 and 18.
  34. 34.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?
  35. 35.Find the LCM of 15, 5 and 10.
  36. 36.Find the LCM of 10, 3 and 4.
  37. 37.Find the HCF of 20 and 8.
  38. 38.Find the LCM of 6, 3 and 4.
  39. 39.Find the LCM of 8, 14 and 7.
  40. 40.Find the HCF of 126 and 98.

Answer key

  1. 28
  2. 10
  3. 72
  4. 28
  5. 25
  6. 24
  7. 240
  8. 5
  9. 180
  10. 8
  11. 90
  12. 40
  13. 12
  14. 90
  15. 24
  16. 14
  17. 14
  18. 24
  19. 15
  20. 14
  21. 8
  22. 15
  23. 56
  24. 24
  25. 180
  26. 7
  27. 4
  28. 24
  29. 4
  30. 63
  31. 2
  32. 14
  33. 90
  34. 64
  35. 30
  36. 60
  37. 4
  38. 12
  39. 56
  40. 14

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