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

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Solution

TO FIND: Greatest number of 6 digits exactly divisible by 24, 15 and 36

The greatest 6 digit number be 999999

24, 15 and 36

Since

Therefore, the remainder is 279.

Hence the desired number is equal to

Hence is the greatest number of 6 digits exactly divisible by 24, 15 and 36.

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