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UPSC CDS 2 2019 Math Paper

Question : 18 of 100

Marks: +1, -0

What is the LCM of 1/3, 5/6, 2/9, 4/27?

Solution:

Concept:

The LCM of a set of fractions is found by dividing the LCM of all numerators by the HCF of all denominators.

Explanation:

The given numbers are

\frac{1}{3}, \frac{5}{6}, \frac{2}{9}, \frac{4}{27}

Separate the numerators:

1, 5, 2, 4

and denominators:

3, 6, 9, 27

Compute the LCM of the numerators:

LCM of

1,5,2,4

20

Compute the HCF of the denominators:

HCF of

3,6,9,27

3

Apply the formula: LCM of fractions =

\frac{\text{LCM of numerators}}{\text{HCF of denominators}} = \frac{20}{3}

Answer:

\frac{20}{3}

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