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 4 of 12.
Nam said:
8 years ago
Please explain how we get 399 divided 9999 by 600?
Sandeep said:
8 years ago
Lcm 600 multiple with 16 we got 9600 it is greatest number of LCM of 600.
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.
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.
Yuyutsu said:
8 years ago
Which greatest number can be divided by 15, 45&90 without leaving any remainder?
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?
Nisha said:
8 years ago
Please tell me why we have to take LCM and HCF?
Deviesree said:
8 years ago
For Greatest no HCF to be found out or LCM? Anyone explain me.
Sharada said:
8 years ago
Thank you all. Very useful explanation.
Mahendra singh dhoni said:
9 years ago
Better take lcm of all numbers i.e. 600 and tye greatest 4 digit number that will be divisible by 600 will be the answer.
In this case, 9000 and 9600 are divisible by 600 and 9600 is the greater one.
Simple as possible.
In this case, 9000 and 9600 are divisible by 600 and 9600 is the greater one.
Simple as possible.
Ragu said:
9 years ago
Thanks @Sruthi.
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