# Length of a string

What is the smallest length of a string that we can cut into 18 equal parts and even 27 equal parts (in decimeters)?

Result

x =  54 dm

#### Solution:

$18 = 2 \cdot 3^2 \\ 27 = 3^3 \\ LCM(18, 27) = 2 \cdot 3^3 = 54\\ \ \\ \ \\ x = LCM(18,27) = 54 = 54 \ \text { dm }$

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#### Following knowledge from mathematics are needed to solve this word math problem:

Do you want to calculate least common multiple two or more numbers? Do you want to calculate greatest common divisor two or more numbers? Do you want to convert length units?

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