Question

How do you find the least common multiple of these two expressions `10y^2w^6u^5, 6y^4w^7`?

Answer 1

`L C M = color(purple)(30 * y^4 * w^7 * u^5`

Explanation:

To find LCM of `10y^2w^6u^5, 6y^4w^7`

Factors of `10y^2w^6u^5 = color(red)(2) * 5 * color(red)(y^2 * w^6) * u^5`

Factors of `6y^4 * w^7= color(red)(2) * 3 * color(red)(y^2)* y^2 * color(red)(w^6) * w`

`L C M = 2 * 5 * 3 * y^4 * w^7 * u^5 = color(purple)(30 * y^4 * w^7 * u^5`