Latest HCL Aptitude Question SOLUTION: The largest four digit number which is a multiple of 8, 10,12 and 15 is:

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The largest four digit number which is a multiple of 8, 10,12 and 15 is:

Asked In HCL Nikita Rai (9 years ago)

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Vijaya Ragavendran  (9 years ago)

lcm=120
9999/120=83
83*120=9960

Is this solution Helpfull? Yes (16) | No (1)  

Deepak Ranjan Sahoo  (9 years ago)

lcm=120
on dividing 9999 by 120 we get 39 as reminder
require no is =9999-39=9960

Is this solution Helpfull? Yes (15) | No (1)  

veeraswamy  (9 years ago)

lcm (8,10,12,15)=120
largest no 9999/120=83
reminder=39
ans is=9999-39=9960

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Divya Batra  (6 years ago)

LCM of 8,10,12 and 15= 120 means 12 is the 3-digit number which is multiple of 8,10,12,15.
Now, to find largest four digit number, starting from 9999, 9999%120=39 is the remainder.
so, 9999-39=9960 is the largest 4-digit number which is a multiple of 8,10,12, and 15.

2nd way is:-
9999/120=83 is the quotient.
so, 120*83=9960 which is perfectly divisible by 8,10, 12 and 15.

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