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 8 of 12.

Gwene said:   1 decade ago
Why only 9999? among those 4 numbers 9800 is greater so why not 9800?

Mkp said:   7 years ago
Why we take LCM of these Numbers?

Why Not HCF? Can Anyone explain?
(2)

Lale Di Jaan said:   3 years ago
Here, We can also multiply 600 by the quotient.
i.e. 600*16 = 9600.
(14)

Dr.Deepshikha Saini said:   1 decade ago
Debashree you are superb. Thanks for such a wonderful explanation.

Prathyusha said:   6 years ago
How to identify whether the question given is based on LCM or HCF?
(2)

Lakhan said:   1 decade ago
Friends will you please explain how the LCM came 600 in detail ?

PK rojer said:   1 decade ago
Instead of calculating LCM Why we don't go for calculating HCF.

Shabnam said:   1 decade ago
Where is the come 399? I am totally confuse some one define me.

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

Rithika said:   6 years ago
I can't understand this problem clearly please anyone help me.


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