Find the LCM of the following algebraic expression:

$(p+q)(p+r), (q+r)(r+p), (r+p)(p+q)$

Find the LCM of the following algebraic expression:

$a{b}^4-8ab, a^2{b}^4+8a^{2}b, a{b}^4-4a{b}^2$

Find the LCM of the following algebraic expression:

$x^4+x^2{y}^2+y^4, x^{3}y+y^4, {(x^2-xy)}^3$

Find the LCM of the following algebraic expression:

$p^2+2p, 2p^4+3p^3-2p^2, 2p^3-3p^2-14p$

Find the LCM of the following algebraic expression:

$x^2-y^2+z^2-2xz, x^2-y^2-z^2+2yz, xy+zx+y^2-z^2$

Find the LCM of the following algebraic expression:

$x^2-xy-2y^2, 2x^2-5xy+2y^2, 2x^2+xy-y^2$

Find the LCM of the following algebraic expression:

$3x^2-15x+18, 2x^2+2x-24, 4x^2+36x+80$

Find the LCM of the following algebraic expression:

${\left(a^2+2a\right)}^2, 2a^3+3a^2-2a, 2a^4-3a^3-14a^2$

Find the LCM of the following algebraic expression:

$3a^2-5ab-12b^2, a^5-27a^2{b}^3, 9a^2+24ab+16b^2$