SOLUTION: find the LCD for the rational expression: 5 / 12a^6b , 3b / 14a , 1 / 2ab^3

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Question 201815: find the LCD for the rational expression:
5 / 12a^6b , 3b / 14a , 1 / 2ab^3
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find the LCD for the following:
5%2F12a%5E6b, 3b%2F14a, 1%2F2ab%5E3
First, write the prime factorization of each denominator, using exponents for repeated factors:
12a%5E6b+=+2%5E2%2Aa%5E6%2Ab
14a+=+2%2A7%2Aa
2ab%5E3+=+2%2Aa%2Ab%5E3
Now select the highest power of each factor from the three lists:
2%5E2%2A3%2A7%2Aa%5E6%2Ab%5E3 Multiply:
highlight%2884a%5E6b%5E3%29 This is the LCD