# Game room

Winner can took win in three types of jettons with value 3, 30 and 100 dollars.
What is minimal value of win payable in this values of jettons?

Result

x =  300 USD

#### Solution:

$3 = 3 \\ 30 = 2 \cdot 3 \cdot 5 \\ 100 = 2^2 \cdot 5^2 \\ LCM(3, 30, 100) = 2^2 \cdot 3 \cdot 5^2 = 300\\ \ \\ \ \\ x = LCM(3,30,100) = 300 = 300 \ \text{ USD }$

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