Aptitude - Problems on H.C.F and L.C.M - Discussion
Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 25)
25.
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
Answer: Option
Explanation:
Required number = (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548.
Discussion:
30 comments Page 1 of 3.
Saritha said:
1 decade ago
wat is the lcm of 12,15,20 and 54?
Saranya said:
1 decade ago
lcm=540
Jas said:
1 decade ago
How?
Anybody can explain ?
Anybody can explain ?
Prannav said:
1 decade ago
Can anyone please show me the procedure to calculate the lcm as I think I am making some mistake.
Suresh said:
1 decade ago
First divide entire given series with 2 then you have the remainders 6, 15, 10, 27.
Now divide these series with 3 then you get reminders 2, 5, 10, 9.
Now divide before series with 5 then you will get series 2, 1, 2, 9.
Now divide before series with 2 then you will get series 1, 1, 1, 9.
Now multliply all the divisors that used in it i.e 2*3*5*2*9 = 540.
Now divide these series with 3 then you get reminders 2, 5, 10, 9.
Now divide before series with 5 then you will get series 2, 1, 2, 9.
Now divide before series with 2 then you will get series 1, 1, 1, 9.
Now multliply all the divisors that used in it i.e 2*3*5*2*9 = 540.
Gufran said:
1 decade ago
L.C.M
2 | 12,15,20,54
2 | 6 ,15,10,27
3 | 3 ,15,5 ,27
5 | 1 ,5 ,5 ,9
1 ,1 ,1 ,9
NOW,2*2*3*5*9=540
Required number = (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548.
2 | 12,15,20,54
2 | 6 ,15,10,27
3 | 3 ,15,5 ,27
5 | 1 ,5 ,5 ,9
1 ,1 ,1 ,9
NOW,2*2*3*5*9=540
Required number = (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548.
Subhani said:
1 decade ago
Please anyone tell me what is the least natural number which when divided by 2, 3, 4, 5 or 6 leaves a remainder 1.
Umesh gupta said:
1 decade ago
L.C.M
2 | 2,3,4,5,6
2 | 1,3,2,5,3,
3 | 1,3,1,5,3
| 1,1,1,5,1
NOW,2*2*3*5=60
Required number = (L.C.M. of 2, 3, 4, 5 and 6) + 1
= 60 + 1
= 61
2 | 2,3,4,5,6
2 | 1,3,2,5,3,
3 | 1,3,1,5,3
| 1,1,1,5,1
NOW,2*2*3*5=60
Required number = (L.C.M. of 2, 3, 4, 5 and 6) + 1
= 60 + 1
= 61
Disha said:
1 decade ago
After calculating the lcm why 8 is added?
Sreera said:
1 decade ago
Question is what is the number.
LCM OF 12, 15, 20 and 54 = 540.
Reminder = 8.
Exactly The Number is 540 + 8.
LCM OF 12, 15, 20 and 54 = 540.
Reminder = 8.
Exactly The Number is 540 + 8.
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