SOLUTION: find the greatest number of 6 digits from which 15 is subtracted and the result of subtraction is exactly divisible by 16,24,27 and 36

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Question 911629: find the greatest number of 6 digits from which 15 is subtracted and the result of subtraction is exactly divisible by 16,24,27 and 36

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the LCM of 16,24,27 and 36.
16=2%5E4
24=2%5E3%2A3
27=3%5E3
36=2%5E2%2A3%5E2
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.
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LCM=2%5E4%2A3%5E3
LCM=432
Divide 1000000 by 432 to find the multiplier to get you to the largest 6 digit number.
1000000%2F432=2314.815
So then multiply the LCM by 2314.
N=432%2A2314
N=999648
Then add 15.
N=999648%2B15
N=999663