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. 2)
2.
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:
Answer: Option
Explanation:
Clearly, the numbers are (23 x 13) and (23 x 14).
Larger number = (23 x 14) = 322.
Discussion:
153 comments Page 2 of 16.
Pratyusha 2 said:
3 years ago
Very helpful, thanks for explaining @Lahari.
(3)
JaGaDeeSh said:
3 years ago
Good explanation @Lahari.
(3)
Sachin alure said:
3 years ago
Well explained @Krishna.
Nitish said:
3 years ago
Thank you for explaining the answer @Krishna.
(2)
Saeed said:
4 years ago
Thanks alot. @Dheeraj.
Krishna said:
4 years ago
Please correct me if I am wrong:
Let two numbers be A and B. It is given that their HCF is 23. Therefore, A = 23 * x
and B = 23 * y, where x and y are any integers.
And we can find their LCM as follows: LCM(A, B) = 23 * x * y.
Therefore, x and y are the other two factors of LCM, and we are given that those 2 factors are 13 and 14 respectively.
Therefore x = 13 and y = 14. And hence largest number = 23 * 14 = 322.
Let two numbers be A and B. It is given that their HCF is 23. Therefore, A = 23 * x
and B = 23 * y, where x and y are any integers.
And we can find their LCM as follows: LCM(A, B) = 23 * x * y.
Therefore, x and y are the other two factors of LCM, and we are given that those 2 factors are 13 and 14 respectively.
Therefore x = 13 and y = 14. And hence largest number = 23 * 14 = 322.
(16)
Karan said:
4 years ago
@Ahmed.
Yeah, right, good explanation. Thanks.
Yeah, right, good explanation. Thanks.
Ysr said:
4 years ago
@Chiya.
Good explained. Thanks.
Good explained. Thanks.
Khushi said:
4 years ago
Number 1 = a * 23
number 2 = b * 23
And other factors of LCM are 13 and 14
So clearly a * b = 13 * 14
But my point is:
a * b = 26 * 7
a * b = 81 * 2
As they are co prime in themselves,
So why is the answer not 23*81? Please explain.
number 2 = b * 23
And other factors of LCM are 13 and 14
So clearly a * b = 13 * 14
But my point is:
a * b = 26 * 7
a * b = 81 * 2
As they are co prime in themselves,
So why is the answer not 23*81? Please explain.
(2)
Sivapriya said:
4 years ago
Clearly explained. Thank you @Vijay Pandey.
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