document.write( "Question 207417: What is the smallest whole number that is divisible by 2,3,5,6,9, and 10? Explain how you found this number \n" ); document.write( "
Algebra.Com's Answer #156845 by vleith(2983)\"\" \"About 
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Find the prime factors for each of the given numbers.
\n" ); document.write( "2,3,5 are easy
\n" ); document.write( "6 = 2*3
\n" ); document.write( "9=3*3
\n" ); document.write( "10=2*5
\n" ); document.write( "So you can see that the least common multiple will be the one that contains the factors as follows
\n" ); document.write( "one 2
\n" ); document.write( "two 3 (since 9 is 3*3)
\n" ); document.write( "one 5
\n" ); document.write( "Why 2 threes? and not 2 of anything else? Look at the factors for each and pick number of prime factors used 'the most' in any one of the original numbers.
\n" ); document.write( "10 can be made using one 2 and one 5. 6 is onw 2 and one 3. Only 9 requires using any of the common factors more than once.\r
\n" ); document.write( "\n" ); document.write( "So the number is \"2%2A3%2A3%2A5+=+90\"
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