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. 14)
14.
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
1677
1683
2523
3363
Answer: Option
Explanation:

L.C.M. of 5, 6, 7, 8 = 840.

Required number is of the form 840k + 3

Least value of k for which (840k + 3) is divisible by 9 is k = 2.

Required number = (840 x 2 + 3) = 1683.

Discussion:
86 comments Page 8 of 9.

Amendra said:   6 years ago
How does the value of k equals 2?

Sudip said:   7 years ago
Thanks for the answer @Suchita.

Priya said:   1 decade ago
nice Suchita ......it was nice

Rohit said:   10 years ago
Please help me how we get k=2?

Shariq said:   1 decade ago
Just divide all options by 9.

Ramya said:   1 decade ago
Why we are using variable k?

Gowtham said:   7 years ago
Well said, thanks @Suchita.

JITENDRA KUMAR said:   6 years ago
What is the Value of k?

Chinmaya said:   1 decade ago
How you will get 2 ?

M.V.KRISHNA/PALVONCHA said:   1 decade ago
Excellent suchita.


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