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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
4 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 \(GCD (35,21,49)=7\)

\(\implies \dfrac{x}{y}=\dfrac{30}{7}\) Anirudh Sreekumar · 4 months ago

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