Question

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

Answer 1

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.