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.
Hope it helps!!