Dressmaker

Dressmaker left a piece of canvas shorter than 5 meters. She is deciding whether it sew a skirt or dress. The canvas was exactly as much as they consumed had cut up her skirt to 120 cm, or 180 centimeters dress. What a piece of canvas left her?

Correct result:

x =  3.6 m

Solution:

$$\begin{gathered} 120=2^3\cdot 3\cdot 5 \\ 180=2^2\cdot 3^2\cdot 5 \\ LCM(120,180)=2^3\cdot 3^2\cdot 5=360x=360\mathrm{/}100=3.6\text{ m} \end{gathered}$$

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