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. 10)
10.
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
74
94
184
364
Answer: Option
Explanation:

L.C.M. of 6, 9, 15 and 18 is 90.

Let required number be 90k + 4, which is multiple of 7.

Least value of k for which (90k + 4) is divisible by 7 is k = 4.

Required number = (90 x 4) + 4   = 364.

Discussion:
88 comments Page 6 of 9.

Phanindra said:   1 decade ago
Isn't it the least common multiple of 6, 7, 9, 15 and 18 with a remainder 4?

Ananya said:   8 years ago
Hey guys, what will we take in the right-hand side? Please help me out.

Sonu said:   2 decades ago
How can you find the value of k=4 i.e.
How we can divide (90k + 4)by 7.

Myk said:   1 decade ago
a/b ve get quocent q and reminder r
there for a=bq+r that why 90k+4

Ritu said:   9 years ago
But why to do lcm of 6, 9, 15, 18 here?

Will somebody help me out?

Akash said:   4 years ago
@Jeni.

Can you please explain how came 7 when calculating the LCM?
(3)

Bhavi said:   1 decade ago
Is there any short trick to solve these types of questions???

Ram said:   1 decade ago
I'm confused to find LCM and HCF. Can anyone please explain?

Ananth said:   1 decade ago
Shortest Way => Only one option divisible by 7 is "364".

Mani said:   1 decade ago
How can u choose the value of k=4 ? It can be 2 also know.


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