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. 5)
5.
The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
Answer: Option
Explanation:
Greatest number of 4-digits is 9999.
L.C.M. of 15, 25, 40 and 75 is 600.
On dividing 9999 by 600, the remainder is 399.
Required number (9999 - 399) = 9600.
Discussion:
120 comments Page 5 of 12.
Sangeet said:
1 decade ago
Hi, I do not when to use HCF & when to use LCM?
Here it is mentioned the word "GREATEST" but still we find LCM instead of HCF why?
Here it is mentioned the word "GREATEST" but still we find LCM instead of HCF why?
Priya said:
1 decade ago
LCM of 15: 5 X 3.
25: 5^2.
40: 5 X 2^3.
75: 5^2 X 3.
From each highest power of 5 = 5^2, 2 = 2^3, 3 = 3.
So 5^2 X 2^3 X 3 = 600.
25: 5^2.
40: 5 X 2^3.
75: 5^2 X 3.
From each highest power of 5 = 5^2, 2 = 2^3, 3 = 3.
So 5^2 X 2^3 X 3 = 600.
Vishwa said:
7 years ago
The greatest number given there is first to come.
9800 which is not divisible by 600.
9600 which is divisible,
So answer is 9600.
9800 which is not divisible by 600.
9600 which is divisible,
So answer is 9600.
Gayathri Ganesan said:
1 decade ago
Magesh, I'm also getting confusion with that type of doing lcm brings 3000. Then how they put 600? Is anyone cleared this doubt?
Sruthi said:
1 decade ago
5) 15,25,40,75
------------
5) 3,5,8,15
------------
3) 3,1,8,3
------------
1,1,8,1
Now,
LCM = 5*5*3*8 = 600.
------------
5) 3,5,8,15
------------
3) 3,1,8,3
------------
1,1,8,1
Now,
LCM = 5*5*3*8 = 600.
Dileep Kumar M B said:
1 decade ago
How a person could know whether to take LCM or HCF? can anybody explain me when should we use these LCM and HCF ?
Daisy Chowdhury said:
1 decade ago
I use the same technique and I am agree with the first one. Now I am much confident about with dealing the sum.
Manish said:
1 decade ago
Why we have taken LCM of following numbers when the question is about the greatest number which suggests HCF?
Achutha said:
1 decade ago
Please tell why we have to take lcm instead instead of hcf and in which situation I have to take lcm or hcf?
David said:
1 decade ago
Because greatest no. of four digit is only 9999.
So we divide 9999 by 600. So please use your common sense.
So we divide 9999 by 600. So please use your common sense.
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