Find the greatest number of 6 digits exactly divisible by 24, 15, 36.

First of all we will find the LCM of 24,15 and 36,

We will find out the LCM of 24,15 and 36 is 360.

Now, Greatest 6-digit number is 999999.

Now, We will divide this number by LCM, we will get,

999999/360=2777.775

Now we will multiply 2777 by LCM i.e. 360, we will get,

999720.

Now we will check it out for the numbers we will get,

999720/24=41655

999720/15=66648

999720/36=27770

Therefore It is confirmed that 999720 is the greatest number 6-digit number divisible by 24,15 and 36.