Question

The LCM of $\frac{5}{8},\frac{15}{32}$ and $\frac{25}{64}$ is

• A. $2\frac{1}{64}$
• B. $5\frac{7}{64}$
• C. $9\frac{3}{8}$
• D. $6\frac{5}{8}$

Answer 1

Answer: (C)

$9\frac{3}{8}$

LCM of denominator $8,32$ and $64$ is $64$
Now,

Multiply first fraction by $\frac{64}{8}=8$

Multiply second fraction by $\frac{64}{32}=2$

Multiply third fraction by $\frac{64}{64}=1$

So, first fraction becomes: $\frac{5}{8}\times \frac{8}{8}=\frac{40}{64}$

Second fraction becomes: $\frac{15}{32}\times \frac{2}{2}=\frac{30}{64}$

Third fraction becomes: $\frac{25}{64}\times \frac{1}{1}=\frac{25}{64}$

Now, since denominators are same, then LCM of numerators $40,30,25$ is $600$

Hence, LCM of $\frac{5}{8},\frac{15}{32},\frac{25}{64}$ is $\frac{600}{64}\equiv \frac{75}{8}\equiv 9\frac{3}{8}$

Hence, option $C.$