Question

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

• A. $\frac{1}{30}$
• B. $30$
• C. $\frac{15}{4}$
• D. $\frac{6}{5}$

Answer 1

The correct option is B

$30$

Given mixed fractions can be converted to improper fractions as shown below.
$1\frac{1}{5}=\frac{6}{5}$
$3\frac{3}{4}=\frac{15}{4}$
LCM of fractions $=\frac{LCMofnumerators}{HCFofdenominators}$
LCM of numerators 6 and 15 = 30
HCF of denominators 2 and 5 = 1
$\therefore$ LCM of the given numbers = $\frac{30}{1}$ = 30