Question

Find LCM of $\frac{3}{4},\frac{9}{16},\frac{15}{24}$ and $\frac{6}{12}$ using long division method.

• A. $\frac{45}{4}$
• B. $\frac{45}{16}$
• C. $\frac{90}{16}$
• D. $\frac{90}{4}$

Answer 1

Answer: (D)

$\frac{90}{4}$

We have to find the LCM of $\frac{3}{4},\frac{9}{16},\frac{15}{24},\frac{6}{12}$ 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: $3,9,15,6$

Thus the LCM of numerator is $3\times 3\times 5\times 2=90$

Now let us find the HCF of denominator: $4,16,24,12$

Thus the HCF of denominator is $4$.

Hence, LCM of fractions$=\frac{\text{LCM of numerator}}{\text{HCF of denominator}}=\frac{90}{4}$