Question

Lcm of the fractions 10/3 20/9 5/15​

Answer 1

Answer:

Here you go....

Answer 2

LCM

For finding the LCM of fraction, we need to find LCM of numerator and HCF of denominator.

LCM formula for Fractions $=\frac{L.C.M. of \ numerator}{H.C.F \ of \ denominator}$

L.C.M of $\frac{10}{3} ,\frac{20}{9}, \frac{5}{15}$ can be calculated using above formula,

$= \frac{L.C.M \ of\ 10, \ 20,\ 5 }{H.C.F. \ of \ 3,\ 9,\ 15}$

L.C.M of 10, 20 and 5 is calculated using prime factorization,

$10=2\times 5\\\\20=2\times2 \times5\\\\5=5$

So required L.C.M will be 20.

H.C.F of 3, 9 and 15 can be calculated using prime factorization,

$3=3\\\\9=3\times3\\\\15=3\times5$

Hence HCF required is 3.

Hence the required L.C.M of given fractions will be $\frac{20}{3}$.