Number System

Fast trick to solve number system

Q .The largest four digit number exactly divisible by each of 13 , 14 ,8 and 8 is ?

STEP 1 :

Lets calculate lcm of four numbers 13 , 14 ,8 and 8 that is 728

STEP 2 :

As we now the Largest four digit number is 9999 . now divide 9999 with lcm that is 728

So 9999 / 728

Quotient = 13

Remainder = 535

STEP 3 :

Now subtract remainder that is 535 with 9999

9999 - 535

9464

So largest four digit number 9464 that is exactly divisible.