document.write( "Question 1150079: If (a)(b^4)(c^3)=1215000, where a, b and c are distinct positive integers greater than 1, what is the greatest possible value of a+b+c. \n" ); document.write( "
Algebra.Com's Answer #771450 by MathTherapy(10552)\"\" \"About 
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If (a)(b^4)(c^3)=1215000, where a, b and c are distinct positive integers greater than 1, what is the greatest possible value of a+b+c.
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Prime factors of 1,215,000: \"matrix%281%2C6%2C+2%5E3%2C+%22%2C%22%2C+3%5E5%2C+%22%2C%22%2C+and%2C+5%5E4%29\"
\n" ); document.write( "FACTS: 1) \"a\" MUST have the largest value
\n" ); document.write( " 2) The order of the other 2 prime factors that come after \"a\" doesn't
\n" ); document.write( " MATTER, which means that we can either have:
\n" ); document.write( "This then leaves us with:
\n" ); document.write( "Thus, greatest possible value of \n" ); document.write( "
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