Question

The LCM of 2/5,3/10,6/25? ​

Answer 1

Answer:

$LCM=\frac{6}{5}$

Step-by-step explanation:

Given : Fractions $\frac{2}{5}, \frac{3}{10}, \frac{6}{25}$

To find : The LCM of fractions ?

Solution :

The LCM of fractions is  

$LCM=\frac{\text{LCM of Numerator}}{\text{HCF of Denominator}}$

LCM of Numerator - 2,3,6 is

2 | 2  3  6

3 | 1   3  3  

  | 1   1   1

$\text{LCM of Numerator}=2\times 3=6$

HCF of Denominator is 5,10,25

$5=1\times 5\\10=2\times 5\\25=5\times 5$

$\text{HCF of Denominator}=5$

Substitute in the formula,

$LCM=\frac{6}{5}$