What is lcm 5x^6*(x^4-3x^2),8x^4*(3x^3-4x^4) ?

The solution to lcm 5x^6*(x^4-3x^2),8x^4*(3x^3-4x^4) is -40x^8(4x-3)(x+sqrt(3))(x-sqrt(3))

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lcm 5x^6(x^4-3x^2),8x^4(3x^3-4x^4)

lcm

5 x^{6} \cdot (x^{4} - 3 x^{2}), 8 x^{4} \cdot (3 x^{3} - 4 x^{4})

- 40 x^{8} (4 x - 3) (x + 3) (x - 3)

Solution steps

Find Least Common Multiplier of

5 x^{6} \cdot (x^{4} - 3 x^{2}), 8 x^{4} \cdot (3 x^{3} - 4 x^{4})

Factor

5 x^{6} (x^{4} - 3 x^{2}) : 5 x^{8} (x + 3) (x - 3)

Factor

8 x^{4} \cdot (3 x^{3} - 4 x^{4}) : - 2^{3} (4 x - 3) x^{7}

Multiply each factor with the highest power:

- 2^{3} \cdot (4 x - 3) \cdot 5 \cdot x^{8} \cdot (x + 3) \cdot (x - 3)

Simplify

- 40 x^{8} (4 x - 3) (x + 3) (x - 3)

x^{2} - 4 x, - 7 x + 6, 3 x^{2} - 5

- 7 x - 4 y + 6 z, 10 x - 20 y - 8 z, - 5 x + 24 y + 2 z

\frac{4}{x}, \frac{( 3 x + 4 )}{7}

x - 2, x^{3} - x^{2} - 22 x + 40

b \cdot \frac{h}{29.2}, \frac{5}{2}

What is lcm 5x^6*(x^4-3x^2),8x^4*(3x^3-4x^4) ?
The solution to lcm 5x^6*(x^4-3x^2),8x^4*(3x^3-4x^4) is -40x^8(4x-3)(x+sqrt(3))(x-sqrt(3))