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

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

Raghunath Reddy

Member since Apr 11, 2014

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 of 24,15 and 36, we will get, 999999/360 will get remainder 279. Now 999999 – 279 = 999720. Now we will check it out for the numbers we will get, 999720/24 = 41655 999720/15 = 66648 999720/36 = 27770 ∴ 999720 is the greatest number 6-digit number divisible by 24,15 and 36.

Syeda

Member since Jan 25, 2017

Answer. 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 of 24,15 and 36, we will get, 999999/360 will get remainder 279. Now 999999 – 279 = 999720. Now we will check it out for the numbers we will get, 999720/24 = 41655 999720/15 = 66648 999720/36 = 27770 ∴ 999720 is the greatest number 6-digit number divisible by 24,15 and 36.
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