Question : Find the LCM of $\frac{3}{2}, \frac{81}{16}$ and $\frac{9}{8}$
Option 1: $\frac{91}{2}$
Option 2: $\frac{81}{2}$
Option 3: $\frac{111}{2}$
Option 4: $\frac{101}{2}$
Correct Answer: $\frac{81}{2}$
Solution :
Given fractions = $\frac{3}{2}, \frac{81}{16}$ and $\frac{9}{8}$
We know that,
LCM of a fraction = $\frac{\text{LCM of the numerators}}{\text{HCF of the denominators}}$
LCM of 3, 81, 9 is 81.
HCF of 2, 16 and 8 is 2.
$\therefore$ LCM of $\frac{3}{2}, \frac{81}{16}$ and $\frac{9}{8}$ = $\frac{81}{2}$
Hence, the correct answer is $\frac{81}{2}$.
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