Question

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

Solution

## 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.

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