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HCF and LCM Worksheet

Quantitative aptitude lesson 1: HCF and LCM · Set 782 · 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 15, 14 and 5.
  2. 2.The HCF of two numbers is 8 and their LCM is 320. One of the numbers is 40. What is the other number?
  3. 3.Find the LCM of 9, 2 and 13.
  4. 4.Find the LCM of 13, 3 and 15.
  5. 5.The HCF of two numbers is 7 and their LCM is 126. One of the numbers is 14. What is the other number?
  6. 6.Find the HCF of 77 and 44.
  7. 7.The HCF of two numbers is 2 and their LCM is 70. One of the numbers is 14. What is the other number?
  8. 8.Find the LCM of 14, 6 and 5.
  9. 9.Find the LCM of 14, 7 and 10.
  10. 10.Find the LCM of 6, 2 and 11.
  11. 11.Find the LCM of 15, 12 and 4.
  12. 12.The HCF of two numbers is 5 and their LCM is 90. One of the numbers is 10. What is the other number?
  13. 13.Find the LCM of 10 and 45.
  14. 14.The HCF of two numbers is 5 and their LCM is 175. One of the numbers is 25. What is the other number?
  15. 15.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 27. What is the other number?
  16. 16.The HCF of two numbers is 9 and their LCM is 504. One of the numbers is 72. What is the other number?
  17. 17.Find the HCF of 10 and 6.
  18. 18.Find the HCF of 30 and 24.
  19. 19.Find the LCM of 6 and 8.
  20. 20.Find the HCF of 32 and 24.
  21. 21.Find the LCM of 15 and 21.
  22. 22.The HCF of two numbers is 7 and their LCM is 70. One of the numbers is 35. What is the other number?
  23. 23.Find the LCM of 4, 3 and 12.
  24. 24.Find the LCM of 14 and 6.
  25. 25.Find the LCM of 10, 9 and 12.
  26. 26.Find the HCF of 70 and 28.
  27. 27.The HCF of two numbers is 3 and their LCM is 168. One of the numbers is 24. What is the other number?
  28. 28.Find the LCM of 15, 2 and 8.
  29. 29.The HCF of two numbers is 5 and their LCM is 180. One of the numbers is 20. What is the other number?
  30. 30.The HCF of two numbers is 4 and their LCM is 96. One of the numbers is 32. What is the other number?
  31. 31.Find the HCF of 70 and 90.
  32. 32.The HCF of two numbers is 3 and their LCM is 216. One of the numbers is 24. What is the other number?
  33. 33.Find the LCM of 6, 4 and 3.
  34. 34.Find the LCM of 15 and 40.
  35. 35.Find the HCF of 104 and 39.
  36. 36.The HCF of two numbers is 5 and their LCM is 140. One of the numbers is 35. What is the other number?
  37. 37.The HCF of two numbers is 5 and their LCM is 315. One of the numbers is 45. What is the other number?
  38. 38.The HCF of two numbers is 5 and their LCM is 60. One of the numbers is 20. What is the other number?
  39. 39.Find the LCM of 14, 12 and 4.
  40. 40.The HCF of two numbers is 9 and their LCM is 216. One of the numbers is 27. What is the other number?

Answer key

  1. 210
  2. 64
  3. 234
  4. 195
  5. 63
  6. 11
  7. 10
  8. 210
  9. 70
  10. 66
  11. 60
  12. 45
  13. 90
  14. 35
  15. 24
  16. 63
  17. 2
  18. 6
  19. 24
  20. 8
  21. 105
  22. 14
  23. 12
  24. 42
  25. 180
  26. 14
  27. 21
  28. 120
  29. 45
  30. 12
  31. 10
  32. 27
  33. 12
  34. 120
  35. 13
  36. 20
  37. 35
  38. 15
  39. 84
  40. 72

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