document.write( "Question 154794: what is the lowest common mutltiple of 8,28,48 \n" ); document.write( "

Algebra.Com's Answer #113985 by orca(409) $\"\"$ $\"About$

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STEP 1
\n" ); document.write( "First factor each integer into primes:
\n" ); document.write( "8 = 2*2*2
\n" ); document.write( "28 = 2*2*7
\n" ); document.write( "48 = 2*2*2*2*3
\n" ); document.write( "STEP 2
\n" ); document.write( "Next find the maximum number of time each prime appears in each factorization.
\n" ); document.write( "The maximum number of time the prime \"2\" appears is 4 in the factorization of 48.
\n" ); document.write( "The maximum number of time the prime \"3\" appears is 1 in the factorization of 48.
\n" ); document.write( "The maximum number of time the prime \"7\" appears is 1 in the factorization of 28.
\n" ); document.write( "STEP 3
\n" ); document.write( "Finally, the lowest common multiple of 8,28,48 can be formed by writing each prime the maximum number of times
\n" ); document.write( "So write 2 four times, 3 one time and 7 one time.
\n" ); document.write( "Thus the lowest common multiple of 8,28,48 is 2*2*2*2*3*7 = 336.
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