Question

find the LCM of 7/2, 9/4 and 5/3​

Answer 1

$\bf \red{LCM \left( \frac{7}{2} , \frac{9}{4} ,\: \frac{5}{3} \right)=315}$

Given:

• $\frac{7}{2}, \frac{9}{4}, \: and \: \frac{5}{3}$

To find:

• Find the LCM.

Solution:

Concept to be used:

LCM of fractions: $\frac{\bf LCM \: of \: numerators}{\bf HCF \: of \: denominators}$

Step 1:

Find LCM of numerators of fractions.

Numerators are 7,9,5.

$7 = 7 \times 1 \\ 9 = 3 \times 3 \times 1 \\ 5 = 5 \times 1$

$LCM(7,9,5) = 7 \times {3}^{2} \times 5$

or

$LCM(7,9,5) = 7 \times 9 \times 5$

or

$\bf LCM(7,9,5) = 315$

Step 2:

Find HCF of denominators.

Denominators are 2,4 and 3.

Factors are

$2 = 2 \times 1 \\ 4 = 2 \times 2 \times 1 \\ 3 = 3 \times 1$

Common factor is 1.

So,

$\bf HCF(2,4,3) = 1$

Step 3:

Find LCM of $\frac{7}{2}, \frac{9}{4}, \: and \: \frac{5}{3}$

$LCM \left( \frac{7}{2} , \frac{9}{4} ,\: \frac{5}{3} \right)=\frac{LCM(7,9,5)}{HCF(2,4,3)}$

or

$LCM \left( \frac{7}{2} , \frac{9}{4} ,\: \frac{5}{3} \right)= \frac{315}{1}$

or

$LCM \left( \frac{7}{2} , \frac{9}{4} ,\: \frac{5}{3} \right)=315$

Thus,

$\bf \: LCM \left( \frac{7}{2} , \frac{9}{4} ,\: \frac{5}{3} \right)=315$

#SPJ3

Learn more:

1) what is the HCF of 2/3,3/4,4/5 ?

https://brainly.in/question/9757050

2) the HCF of 2/ 3 and 4/5

https://brainly.in/question/28277567

Answer 2

Answer:

The LCM of the factions of   $\frac{7}{2}, \frac{9}{4}, \frac{5}{3}$ is  315.

Explanation:

We know,

LCM of fractions: $\frac{LCM OF NUMERATORS}{HCF OF DENOMINATORS}$

Numerators

7 = 7 × 1

9 = 3 ×3 × 1

5 = 5 × 1

∴ LCM = 3 × 3 × 7 × 5

          = 315

Answer) The LCM is 315.