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BAISHALI Rath

Apr 20, 2015

# 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

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 â€“ 279 = 999720. Now we will check it out for the numbers we will get, 999720/24 = 41655 999720/15 = 66648 999720/36 = 27770 âˆ´ 999720 is the greatest number 6-digit number divisible by 24,15 and 36.

Syeda

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 â€“ 279 = 999720. Now we will check it out for the numbers we will get, 999720/24 = 41655 999720/15 = 66648 999720/36 = 27770 âˆ´ 999720 is the greatest number 6-digit number divisible by 24,15 and 36.

Member since Apr 1, 2017

$\fn_cm \\Solution:\\ Given\ number\ are\ 24,15\ and\ 36\\\\ 24=2^3\times3\\ 15=3\times5\\ 36=2^2\times3^2\\\\ LCM(24,15,36)=2^3\times3^2\times5=360\\\\ The\ greatest\ 6 \ digit\ number=999999\\\\ When\ you\ divide\ the\ number\ 999999\ by\ 360\ will\ get\ reminder\ of\ 279\\\\ Now,\ \\ 999999-279=999720 \\\\ \therefore The\ greatest\ 6\ digit\ number\ divisible\ by\ 24,\15\ and\ 36\ is\ 999720$
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