Question

Calculate the LCM of 7/90, 14/15, 7/10​

Answer 1

Answer:

90. By Dividing denominators.

14. By Dividing numerators.

=14

by

90

Answer 2

The LCM of $\frac{7}{90},\frac{14}{15},\frac{7}{10}$ is $\frac{14}{5}$

Step-by-step explanation:

Given : Numbers $\frac{7}{90},\frac{14}{15},\frac{7}{10}$

To find : Calculate the LCM of numbers ?

Solution :

We know that,

$\text{LCM of fractions} = \frac{\text{LCM of numerators}}{\text{HCF of denominators}}$

Numbers $\frac{7}{90},\frac{14}{15},\frac{7}{10}$

Numerators 7,14 factors are

$7=1\times 7$

$14=2\times 7$

LCM of numerators is $2\times 7=14$

Denominators 90,15,10 factors are

$90=2\times3\times 3\times 5$

$15=3\times 5$

$10=2\times 5$

HCF of denominators is 5.

Substitute the values,

$\text{LCM of fractions}=\frac{14}{5}$

Therefore, the LCM of $\frac{7}{90},\frac{14}{15},\frac{7}{10}$ is $\frac{14}{5}$

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