Practice Test Discussion

The LCM of $\frac{1}{3}, \frac{5}{6}, \frac{2}{9}, \frac{4}{27}$ is

[LIC Assistant Aministrative Officer(AAO), 2009]

$\frac{1}{54}$

$\frac{10}{27}$

$\frac{20}{3}$

$\frac{27}{3}$

None of these

Explanation

Here, to find the LCM of fractions,

We find the LCM of numerators and HCF of denominators.

So, $\frac{L C M o f 1, 5, 2 a n d 4}{H C F o f 3, 6, 9 a n d 27} = \frac{20}{3}$

Hence, Option C is correct.

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