# 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?

Result

x =  3.6 m

#### Solution:

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

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