What is lcm 2x^2,4x+12 ?

The solution to lcm 2x^2,4x+12 is 4x^2(x+3)

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lcm 2x^2,4x+12

lcm

2 x^{2}, 4 x + 12

4 x^{2} (x + 3)

Solution steps

Find Least Common Multiplier of

2 x^{2}, 4 x + 12

Factor

2 x^{2}

2 \cdot x^{2}

Factor

4 x + 12 : 2^{2} (x + 3)

4 x + 12

Rewrite

12

4 \cdot 3

= 4 x + 4 \cdot 3

Factor out common term

4

= 4 (x + 3)

Factor

4 = 2^{2}

= 2^{2} \cdot (x + 3)

Multiply each factor with the highest power:

2^{2} \cdot x^{2} \cdot (x + 3)

Simplify

4 x^{2} (x + 3)

6 \cdot 2 + 6^{4}

1875 - 819

12 \cdot 11

10 - 9 \cdot \frac{24}{8} \cdot 6

\frac{225}{5}