Question

The L.C.M. of $\frac{14}{15},\frac{6}{35}$ is

• A. $\frac{2}{5}$
• B. $\frac{4}{105}$
• C. $\frac{2}{105}$
• D. $\frac{42}{105}$

Answer 1

The correct option is D $\frac{42}{105}$

$\frac{14}{15}=\frac{2\times 7}{3\times 5}$

$\frac{6}{35}=\frac{2\times 3}{5\times 7}$

L.C.M.of $\frac{14}{15},\frac{6}{35}$

$=\frac{2\times 3\times 7}{3\times 5\times 7}$

$=\frac{42}{105}$