document.write( "Question 637470: Get the GCD and the LCM of 15np, 6n², and 39n²p \n" ); document.write( "
Algebra.Com's Answer #401689 by Edwin McCravy(20061)\"\" \"About 
You can put this solution on YOUR website!
Get the GCD and the LCM of 15np, 6n², and 39n²p
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document.write( "Break each down into their prime factors with no exponents:\r\n" );
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document.write( "15np = 3·5·n·p\r\n" );
document.write( "6n² = 2·3·n·n\r\n" );
document.write( "39n²p=3·13·n·n·p\r\n" );
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document.write( "Line those factors up so that all factors in each vertical column \r\n" );
document.write( "are the same, and draw a line underneath\r\n" );
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document.write( "15np  =   3·5·   n·  p\r\n" );
document.write( "  6n² = 2·3·     n·n\r\n" );
document.write( "39n²p =   3·  13·n·n·p\r\n" );
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document.write( "To get the LCM, bring every factor down under the bottom line, like this:\r\n" );
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document.write( "15np  =   3·5·   n·  p\r\n" );
document.write( "  6n² = 2·3·     n·n\r\n" );
document.write( "39n²p =   3·  13·n·n·p\r\n" );
document.write( "  LCM = 2·3·5·13·n·n·p = 390n²p\r\n" );
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document.write( "To get the GCD, bring only the factors down under the bottom line,\r\n" );
document.write( "if they appear on every line, like this:\r\n" );
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document.write( "15np  =   3·5·   n·  p\r\n" );
document.write( "  6n² = 2·3·     n·n\r\n" );
document.write( "39n²p =   3·  13·n·n·p\r\n" );
document.write( "  GCD =   3     ·n     = 3n\r\n" );
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document.write( "Edwin
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