Question

Find LCM of $\frac{2}{3},\frac{7}{18},\frac{11}{12}$ by long division method.

• A. $\frac{1}{3}$
• B. $\frac{154}{3}$
• C. $\frac{14}{3}$
• D. $\frac{77}{3}$

Answer 1

The correct option is B $\frac{154}{3}$

We have to find the LCM of $\frac{2}{3},\frac{7}{18},\frac{11}{12}$ by long division method.

We know that LCM of fractions $=\frac{\text{LCM of numerator}}{\text{HCF of denominator}}$

Now let us find the LCM of numerator: $2,7,11$

Thus the LCM of numerator is $2\times 7\times 11=154$

Now let us find the HCF of denominator: $3,18,12$

Thus the HCF of denominator is $3$.

Hence, LCM of fractions$=\frac{\text{LCM of numerator}}{\text{HCF of denominator}}=\frac{154}{3}$