Question

What is the least common multiple (LCM) of $\frac{1}{2},\frac{1}{3}\&\frac{2}{5}$?

• A. $\frac{3}{5}$
• B. $\frac{2}{30}$
• C. $2$
• D. $\frac{2}{5}$

Answer 1

The correct option is C

$2$

The Least Common Multiple (LCM) of two or more 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 1, 1 and 2 is 2.
HCF of denominators 2, 3 and 5 is 1.
$\therefore$ LCM of $\frac{1}{2},\frac{1}{3}\&\frac{2}{5}$$=\frac{2}{1}=2$