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 11 of 12.

Sharada said:   8 years ago
Thank you all. Very useful explanation.

Deviesree said:   8 years ago
For Greatest no HCF to be found out or LCM? Anyone explain me.

Nisha said:   8 years ago
Please tell me why we have to take LCM and HCF?

Varshitha said:   8 years ago
According to the question, we need to find the number which is divisible by all given numbers so we must have a common number in all so we need to do HCF but in the explanation, they followed LCM. Can anyone explain my doubt?

Yuyutsu said:   8 years ago
Which greatest number can be divided by 15, 45&90 without leaving any remainder?

Jass said:   8 years ago
4 digits greatest numbers are 9999.

And the underuse of 9999 is 99.99 So multiply with 4 that will be 399 something .we are finding the greatest number of those so that should be 9999-399= 9600 ans.

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

Nam said:   8 years ago
Please explain how we get 399 divided 9999 by 600?

John lyngdoh said:   7 years ago
Here it is 600*4^2=9600.

John lyngdoh said:   7 years ago
How do you get 399 on dividing 9999 by 600 please explain?


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