Question

Find the LCM of $\frac{1}{4}$, $\frac{2}{5}$ and $\frac{7}{20}$.

• A. $\frac{1}{14}$
• B. $\frac{7}{20}$
• C. 14
• D. 12

Answer 1

The correct option is C

14

The Least Common Multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.
LCM of fractions $=\frac{LCMofnumerators}{HCFofdenominators}$
LCM of numerators 1, 2, and 7 = 14.
HCF of denominators 4, 5 and 20 = 1.
$\therefore$ LCM of the given numbers $=\frac{14}{1}=14$