What is lcm 1213-x^2+x-6,x^3-7x^2+5,-x^3+8x-5 ?

The solution to lcm 1213-x^2+x-6,x^3-7x^2+5,-x^3+8x-5 is (-x^2+x+1207)(-x^3+8x-5)(x^3-7x^2+5)

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lcm 1213-x^2+x-6,x^3-7x^2+5,-x^3+8x-5

lcm

1213 - x^{2} + x - 6, x^{3} - 7 x^{2} + 5, - x^{3} + 8 x - 5

(- x^{2} + x + 1207) (- x^{3} + 8 x - 5) (x^{3} - 7 x^{2} + 5)

Solution steps

Find Least Common Multiplier of

1213 - x^{2} + x - 6, x^{3} - 7 x^{2} + 5, - x^{3} + 8 x - 5

Factor

1213 - x^{2} + x - 6 : - x^{2} + x + 1207

Multiply each factor with the highest power:

(- x^{2} + x + 1207) \cdot (- x^{3} + 8 x - 5) \cdot (x^{3} - 7 x^{2} + 5)

(1 + 4 x)^{3}, (3 + x - x^{2})^{8}

x^{2} + 4 x, - 5 x + x^{2}

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

4 m + 5 y - 3 z, 2 x - 2 y + 5 z

1 \cdot 4 \cdot 1 0^{- 3}, 0 \cdot 32 a

What is lcm 1213-x^2+x-6,x^3-7x^2+5,-x^3+8x-5 ?
The solution to lcm 1213-x^2+x-6,x^3-7x^2+5,-x^3+8x-5 is (-x^2+x+1207)(-x^3+8x-5)(x^3-7x^2+5)