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# The LCM of $$\Large x^{3}-1$$, $$\Large x^{2}-1$$ and $$\Large \left(x-1\right)^{2}$$ is

 A) $$\Large \left(x+1\right) \left(x-1\right) \left(x^{2}+x+1\right)$$ B) $$\Large \left(x+1\right)^{2} \left(x-1\right) \left(x^{2}-x+1\right)$$ C) $$\Large \left(x-1\right)^{2} \left(x-1\right) \left(x^{2}+x+1\right)$$ D) $$\Large \left(x-1\right)^{2} \left(x+1\right) \left(x^{2}-x+1\right)$$

 C) $$\Large \left(x-1\right)^{2} \left(x-1\right) \left(x^{2}+x+1\right)$$

$$\Large \left(x^{3}-1\right)= \left(x-1\right) \left(x^{2}+x+1\right)$$

$$\Large x^{2}-1 = \left(x+1\right) \left(x-1\right)$$

$$\Large \left(x-1\right)^{2} = \left(x-1\right) \left(x-1\right)$$

LCM $$\Large \left(x-1\right)^{2} \left(x+1\right) \left(x^{2}+x+1\right)$$

Part of solved LCM and HCF questions and answers : >> Elementary Mathematics >> LCM and HCF

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