Question

find the lcm of 5/12 and 6/17 plz give explanation​

Answer 1

Answer:

Step-by-step explanation:

85 and 72

Answer 2

The value of LCM of $\frac{5}{12} \ and\ \frac{6}{17}$  is 30.

Step-by-step explanation:

Given:

Fractions $\frac{5}{12} \ and\ \frac{6}{17}$.

To Find:

The value of lcm of $\frac{5}{12} \ and\ \frac{6}{17}$ .

Formula Used:

$LCM\ of\ fraction=\frac{ LCM \ of \ numerator}{HCF\ of\ denominator}$      -------- formula no.01.

Solution:

As given- Fractions  $\frac{5}{12} \ and\ \frac{6}{17}$ .

LCM of (5,6 )

Prime factorization of $5=5$

Prime factorization of $6=2\times3$

$LCM(5,6) =2\times3\times5= 30$

HCF of (12,17)

Prime factorization of $12= 2\times2\times3$

Prime factorization of $17=17$

$HCF(12,17) = 1$

Putting the value of  LCM(5,6)and HCF(12,17) in formula no.01.

$LCM ( \frac{5}{12} ,\frac{6}{17} )=\frac{ LCM (5,6)}{HCF(12,17)}$

                       $=\frac{30}{1} =30$    

Thus, the value of LCM of $\frac{5}{12} \ and\ \frac{6}{17}$ is 30.