SOLUTION: can you tell me how to find the LCM the easiest way? I have looked at all your examples but it is not my particular problem. It's hard for me.This problem is not in a book its a ha

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can you tell me how to find the LCM the easiest way? I have looked at all your examples but it is not my particular problem. It's hard for me.This problem is not in a book its a ha      Log On


   

Question 128728: can you tell me how to find the LCM the easiest way? I have looked at all your examples but it is not my particular problem. It's hard for me.This problem is not in a book its a handout. Can you please help me? This is the problem:
3x/x^2-8x+12 and x+1/x-2 (those are actually a division bars)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
can you tell me how to find the LCM the easiest way? I have looked at all your examples but it is not my particular problem. It's hard for me.This problem is not in a book its a handout. Can you please help me? This is the problem:
3x/x^2-8x+12 and x+1/x-2
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To find any LCM:
1st: factor all the denominators
2nd: the LCM is the product of each of the different factors at their
highest power.
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Your Problem:
Factors of the 1st denominator: (x-6)(x-2)
Factors of the 2nd denominator: (x-2)
LCM = (x-6)(x-2)
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Cheers,
Stan H.