what is the lcm of these and why?

Algebra
Tutor: None Selected Time limit: 1 Day

5/a+7

6/ab+8/a

x+4, & x^2+6x+8

May 28th, 2015

the lowest common multiple is 5/a +7  or (5+7a)/a  so in this case 7 is the biggest lcm since when doing this we find the factor of each number so 5/a is a factor. a^-1 is a factor and 7a/a is a factor then we find the highest lowest common multiple which in this case is 7

6/ab+8/a    now we do 2*3/ab +2^3/a in this case we find the product of each factor with the highest power and in this case is 2^3

x+4 x^2+6x+8 

for the first one x+4    we factor the second equation (x+4)(x+2) then we find the LCM so (x+2^2)(x+2)

so now we have x+4 in the first part and in the second part it is (x+2) but since that is smaller than the LCM of the first equation we must find one that equals both and in this case  it is x+4 the whole LCM of both equations is (x+4)

May 29th, 2015

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