What is lcm 3z^3-6z^2-9z,7z^4+21z^3+14z^2 ?

The solution to lcm 3z^3-6z^2-9z,7z^4+21z^3+14z^2 is 21z^2(z+1)(z+2)(z-3)

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lcm 3z^3-6z^2-9z,7z^4+21z^3+14z^2

lcm

3 z^{3} - 6 z^{2} - 9 z, 7 z^{4} + 21 z^{3} + 14 z^{2}

21 z^{2} (z + 1) (z + 2) (z - 3)

Solution steps

Find Least Common Multiplier of

3 z^{3} - 6 z^{2} - 9 z, 7 z^{4} + 21 z^{3} + 14 z^{2}

Factor

3 z^{3} - 6 z^{2} - 9 z : 3 z (z + 1) (z - 3)

Factor

7 z^{4} + 21 z^{3} + 14 z^{2} : 7 z^{2} (z + 1) (z + 2)

Multiply each factor with the highest power:

3 \cdot 7 \cdot z^{2} \cdot (z + 1) \cdot (z + 2) \cdot (z - 3)

Simplify

21 z^{2} (z + 1) (z + 2) (z - 3)

\frac{( 30 - 3 )}{3}

180 \cdot 6

\frac{24}{24}

\frac{1}{0.8}

(4 \cdot 2)^{2} - (2 \cdot 2)^{2}

What is lcm 3z^3-6z^2-9z,7z^4+21z^3+14z^2 ?
The solution to lcm 3z^3-6z^2-9z,7z^4+21z^3+14z^2 is 21z^2(z+1)(z+2)(z-3)