# LCM or GCD?

Find the smallest fraction, which if divided by 6/35 , 10/21, and 15/49 yields an integer.

Note by Ojasee Duble
1 year, 3 months ago

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Let the fraction be $$\dfrac{x}{y}$$,

To get integers when divided by $$\dfrac{6}{35},\dfrac{10}{21},\dfrac{15}{49}$$,

$$x$$ has to be the $$LCM(6,10,15)=30$$ and,

$$y$$ has to be the $$GCD (35,21,49)=7$$

$$\implies \dfrac{x}{y}=\dfrac{30}{7}$$

- 1 year, 3 months ago