Question

Find the LCM of $2\frac{3}{4}$ and $1\frac{4}{5}$.

• A. $99$
• B. $\frac{1}{99}$
• C. $\frac{9}{5}$
• D. $\frac{11}{4}$

Answer 1

The correct option is A

$99$

Given mixed fractions can be converted to improper fractions as shown below.
$2\frac{3}{4}=\frac{11}{4}$
$1\frac{4}{5}=\frac{9}{5}$
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 $=\frac{\text{LCM of numerators}}{\text{HCF of denominators}}$
LCM of numerators 11 and 9 = 99
HCF of denominators 4 and 5 = 1
$\therefore$ LCM of the given numbers $=\frac{99}{1}=99$