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 6 of 12.

Vivek Balodi said:   9 years ago
Why we take LCM of these Numbers ? Why Not HCF? Can Anyone explain ? When we have to take LCM and when HCF?

Sagar said:   1 decade ago
How remainder 399 comes, by my calculation remainder must be 133? Please show the remainder calculation.

Prajnya.samantaray said:   10 years ago
Can any one please explain in which case I have to take the L.C.M and where H.C.F? I am really confused.

Yogeshwari said:   6 years ago
Please anyone explain how will come lcm 600 from the 4 digits.

I didn't understand. Please help me.

Mahima said:   9 years ago
Find the greatest 3-digit number which is exactly divisible by 4,8 and 12?

Anyone solve this?
(1)

Mehar said:   1 decade ago
hai vishnu...why should divide with only 40 why cant we do that with reaming no given there?

Rahul said:   6 years ago
As question given greatest number then how we do LCM method ? Greatest number means HCF nah?
(3)

Tina said:   9 years ago
Please explain me if the 2 are already repeated in 25 then why you have taken for 3 times?
(1)

Veeramani said:   1 decade ago
9999 divide 600 which give only remainder for 133 but there they are said 399 how its?

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


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