Question

Find the LCM of the set of polynomials.

3a3c, 6b4, b2c2
Question 20 options:

18a3b4c3

18a2b4c2

18a3b4c2

18a3b3c2

Answer 1

6a³b⁴c²

Explanation:

Given the polynomials, to find the Lowest Common Multiple of the polynomials, we need to find factors that can go in at least one of the given polynomials and multiply the resulting variables and constant gotten.

Check the attachment for the diagram

The LCM is 6a³b⁴c²

Answer 2

`6{a}^(3) {b}^(4) {c}^(2)`

EXPLANATION

The given polynomials are:

`3 {a}^(3) c = 3 * {a}^(3) * c`

`6 {b}^(4) = 2 * 3 * {b}^(4)`

`{b}^(2) {c}^(2) ={b}^(2) *{c}^(2)`

The least common multiple (LCM) is the product of the highest powers of the common factors;

`2 * 3 * {a}^(3) * {b}^(4) * {c}^(2)`

This simplifies to,

`6{a}^(3) {b}^(4) {c}^(2)`

The LCM is

`6{a}^(3) {b}^(4) {c}^(2)`