Find the LCM of the fractions $\frac{2}{5}, \frac{3}{7}$, and $\frac{4}{9}$.
Answer & explanation
Correct answer: option 1
LCM of fraction = \(\frac{LCM\;of\;numerator}{HCF\; of\;denominator}\)
The given fractions are : $\frac{2}{5}, \frac{3}{7}$, and $\frac{4}{9}$
LCM of 2, 3, 4 = 12
HCF of 5, 7, 9 = 1
The LCM of $\frac{2}{5}, \frac{3}{7}$, and $\frac{4}{9}$ is = \(\frac{12}{1}\) = 12