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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 760 · 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 14, 15 and 5.
  2. 2.Find the HCF of 75 and 105.
  3. 3.The HCF of two numbers is 5 and their LCM is 75. One of the numbers is 15. What is the other number?
  4. 4.Find the HCF of 15 and 6.
  5. 5.Find the LCM of 10, 5 and 11.
  6. 6.The HCF of two numbers is 7 and their LCM is 140. One of the numbers is 35. What is the other number?
  7. 7.The HCF of two numbers is 8 and their LCM is 112. One of the numbers is 56. What is the other number?
  8. 8.The HCF of two numbers is 6 and their LCM is 336. One of the numbers is 42. What is the other number?
  9. 9.Find the LCM of 12, 9 and 15.
  10. 10.Find the HCF of 49 and 56.
  11. 11.Find the LCM of 2, 3 and 13.
  12. 12.Find the LCM of 8 and 10.
  13. 13.Find the LCM of 32 and 36.
  14. 14.Find the LCM of 15 and 10.
  15. 15.Find the LCM of 3, 6 and 2.
  16. 16.Find the HCF of 60 and 48.
  17. 17.Find the LCM of 4, 5 and 12.
  18. 18.Find the LCM of 12 and 14.
  19. 19.Find the HCF of 55 and 44.
  20. 20.Find the HCF of 14 and 6.
  21. 21.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 64. What is the other number?
  22. 22.Find the LCM of 10 and 35.
  23. 23.The HCF of two numbers is 6 and their LCM is 270. One of the numbers is 30. What is the other number?
  24. 24.Find the HCF of 36 and 63.
  25. 25.Find the LCM of 28 and 24.
  26. 26.Find the LCM of 6, 3 and 15.
  27. 27.Find the LCM of 7, 5 and 4.
  28. 28.The HCF of two numbers is 5 and their LCM is 360. One of the numbers is 45. What is the other number?
  29. 29.Find the LCM of 3, 12 and 15.
  30. 30.Find the LCM of 6, 11 and 4.
  31. 31.Find the LCM of 3 and 2.
  32. 32.The HCF of two numbers is 7 and their LCM is 147. One of the numbers is 49. What is the other number?
  33. 33.The HCF of two numbers is 6 and their LCM is 168. One of the numbers is 24. What is the other number?
  34. 34.The HCF of two numbers is 3 and their LCM is 18. One of the numbers is 9. What is the other number?
  35. 35.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  36. 36.The HCF of two numbers is 9 and their LCM is 567. One of the numbers is 81. What is the other number?
  37. 37.The HCF of two numbers is 6 and their LCM is 84. One of the numbers is 12. What is the other number?
  38. 38.Find the LCM of 15, 12 and 10.
  39. 39.Find the LCM of 5 and 3.
  40. 40.The HCF of two numbers is 8 and their LCM is 448. One of the numbers is 56. What is the other number?

Answer key

  1. 210
  2. 15
  3. 25
  4. 3
  5. 110
  6. 28
  7. 16
  8. 48
  9. 180
  10. 7
  11. 78
  12. 40
  13. 288
  14. 30
  15. 6
  16. 12
  17. 60
  18. 84
  19. 11
  20. 2
  21. 56
  22. 70
  23. 54
  24. 9
  25. 168
  26. 30
  27. 140
  28. 40
  29. 60
  30. 132
  31. 6
  32. 21
  33. 42
  34. 6
  35. 24
  36. 63
  37. 42
  38. 60
  39. 15
  40. 64

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