Problems On L.C.M And H.C.F – Aptitude Questions And Answers

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Problems On L.C.M And H.C.F – Aptitude Questions And Answers

1. Two numbers are in the ratio 2:3. If their L.C.M. is 48. what is sum of the numbers?
 
 
 
 

2. Three numbers are in the ratio of 2: 3: 4 and their L.C.M. is 240. Their H.C.F. is:
 
 
 
 

3. What is the greatest number of four digits which is divisible by 15, 25, 40 and 75 ?
 
 
 
 

4. What is the lowest common multiple of 12, 36 and 20?
 
 
 
 

5. The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
 
 
 
 

6. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:is 13. The number of such pairs is:
 
 
 
 

7. A rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles, all of the same size. what is the largest size of the tile which could be used for
the purpose?
 
 
 
 

8. What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?
 
 
 
 

9. Product of two co-prime numbers is 117. Their L.C.M  should be
 
 
 
 

10. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
 
 
 
 

11. The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
 
 
 
 

12. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together?
 
 
 
 

13. The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is
 
 
 
 

14. Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:
 
 
 
 

15. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
 
 
 
 

16. LCM of 18 and 27 is:
 
 
 
 

17. LCM of 87 and 145 is:
 
 
 
 

18. LCM of 455, 117, 338 is:
 
 
 
 

19. LCM of 1/3, 5/6, 5/4, 10/7 is:
 
 
 
 

20. HCF of 3/16, 5/12, 7/8 is:
 
 
 
 


 

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