Question

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

Answer 1

`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`