What is the LCM of #6y^3v^7# and #4y^2v^8x^4#?

1 Answer
Jul 5, 2018

#color(blue)( LCM = 12 v^8 x^4 y^3#

Explanation:

To find LCM of #6 y^3 v^7, 4 y^2 v^8 x^4#

#6 y^3 v^7 = color(crimson)(2) * 3 * color(crimson)(y^2) * y * color(crimson)(v^7#

#4y^2 v^8 x^4 = color(crimson)(2) * 2 * color(crimson)(y^2) * color(crimson)(v^7) * v * x ^4#

Colored factors are repeating in both the terms and hence to be taken into consideration only once to arrive at the LCM.

#:. LCM = color(crimson)(2 * y^2 * v^7) * 3 * y * 2 * v * x^4#

On simplifying, #color(blue)( LCM = 12 v^8 x^4 y^3#