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 9 of 16.
Himanshu latwal said:
7 years ago
We have been given the LCM =23 * 13 * 14.
HCF=23.
So, the largest no possible no could be 23*13*14 (since numbers are 23 &23 * 13 * 14).
HCF=23.
So, the largest no possible no could be 23*13*14 (since numbers are 23 &23 * 13 * 14).
Shashwat verma said:
1 decade ago
The other solution is the bigger number is 23x7x13 and smaller number is 23x2.
These numbers also will have hcf as 23 and lcm as 23x13x14.
These numbers also will have hcf as 23 and lcm as 23x13x14.
Tej said:
1 decade ago
Product of l.c.m and h.cf is that numbers so in the same way hcf is 23 and l.cm 13 and 4 are given and ther the ans 23*14 is right
Eshant said:
1 decade ago
I still didn't understnad the concept behind ths solution. Is their any easy method to solve these types of stuffs?
Rasim said:
9 years ago
I'm little bit confuse in this concept. How we know to solve this ways. Please anybody is there to clear my doubt.
Sunil kumar said:
10 years ago
LCM*HCF = Value of that number.
So, HCF(LCM1) = n1.
HCF*LCM2 = n2.
So 23*13 = n1.
23*14 = n2.
N1<N2.
So, HCF(LCM1) = n1.
HCF*LCM2 = n2.
So 23*13 = n1.
23*14 = n2.
N1<N2.
Sankar said:
9 years ago
Dear Friends,
Still I didn't understand the concept of LCM & HCF.
Please explain me in an easy way.
Still I didn't understand the concept of LCM & HCF.
Please explain me in an easy way.
Viswanadha Ashok said:
1 decade ago
The L.C.M Of 2 numbers are (23x13) (23x14).
23x13 = 299, 23x14 = 322, which is largest number = 322.
23x13 = 299, 23x14 = 322, which is largest number = 322.
Chiya said:
1 decade ago
HCF*LCM=a*b
23*(13*14)=a*b
(23*13)*(23*14)=a*b
a=23*13
b=23*14
Therefore b = 23*14 is the greatest.
23*(13*14)=a*b
(23*13)*(23*14)=a*b
a=23*13
b=23*14
Therefore b = 23*14 is the greatest.
(5)
Vivin said:
5 years ago
The greatest possibel number is 26*23 that satisfies the conditions. So the given answer is correct.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers