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:
9000
9400
9600
9800
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 7 of 12.

Nagalakshmi said:   9 years ago
Why we should take LCM of number instead of taking HCF? Anyone can explain clearly?

Aparna said:   1 decade ago
@vishnu.

How 9000, 9400 and 9800 are not divsible by 40?.

It is divisible by 40.

Sri said:   9 years ago
Why are you not divide 600 by 96000, which is exactly divisible?

Please tell me.

Sanju said:   7 years ago
Highest four digit possible number is 9999 because 10000 is a 5 digit number.

V!cky said:   10 years ago
9800-9000 = 800.

9600-9400 = 200.

800-200 = 600.

Solved further get 399.

Nitya said:   1 decade ago
Just find the lcm of 15, 40, 25, 75.

Then you will get the answer as 600.

Abdul said:   1 decade ago
How can I divide 9999/600 to get 399? Can you please clearly elaborate it?

Lakhan said:   1 decade ago
@Rahul

How can you ignore 75= 15 x 5 = 5 x 5 x 3 while calculating LCM ?

Sandeep said:   8 years ago
Lcm 600 multiple with 16 we got 9600 it is greatest number of LCM of 600.

Vinod said:   1 decade ago
I don't know how to do LCM & HCF, anyone can you help me how to do?


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