Question

l.c.m of 5/9,9/12,3/16​

Answer 1

Answer:

45

36

48

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Answer 2

Answer:

The LCM of the numbers is 45.

Step-by-step explanation:

Given : Numbers $\frac{5}{9},\ \frac{9}{12},\ \frac{3}{16}$

To find : The LCM of the numbers ?

Solution :

The LCM of the fraction terms is given by,

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

Numerators are 5,9,3.

LCM of numerators,

3 | 3  5  9

3 | 1   5  3

5 | 1   5  1

1  | 1   1  1

$\text{LCM of numerators}=3\times 3\times 5$

$\text{LCM of numerators}=45$

Denominators are 9,12,16

$9=3\times 3$

$12=2\times 2\times 3$

$16=2\times 2\times 2\times 2$

$\text{HCF of denominators}=1$

Substitute in the formula,

$LCM=\frac{45}{1}$

$LCM=45$

Therefore, The LCM of the numbers is 45.