Question

How do you find the LCM for `2r+2`, `r^2+r` and `r+1`?

Answer 1

`color(maroon)(L C M = 2r * (r + 1)`

Explanation:

`2r + 2 = 2 * (r + 1)`

`r^2 + r = r * (r + 1)`

`"Three terms are " 2* (r + 1), r * (r + 1), 1 * (r + 1)`

#"since " (r + 1) " is common in all the three terms",

`:. L C M = (r + 1) * 2 * r * 1 = 2r * (r + 1)`