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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

Solutions > Polynomial Least Common Multiplier (LCM) Calculator >

lcm 3/(x^2-6), (5-x)/(2x-12)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

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∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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lcm 3x²−6 , 5−x2x−12

Solution

2(x+√6)(x−6)(x−√6)

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Solution steps

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Find Least Common Multiplier of x²−6, 2x−12

Lowest Common Multiplier (LCM)

The LCM of a, b is the smallest multiplier that is divisible by both a and b

Factor x²−6: (x+√6)(x−√6)

Factor 2x−12: 2(x−6)

Multiply each factor with the highest power:

2· (x+√6)· (x−6)· (x−√6)

Polynomial Least Common Multiplier (LCM) Examples

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