LCM of 2.5,0.5 and 0.175 is

17.5

Its 17.5 as if u do lcm for all 3 fractions without any decimal point then u get 175 after looking out for the common zeros in 10 and100 and 1000 all have 10 as their common factor so 175/10 then the result is 17.5

L.C.M. of 2.5, 0.5 and 0.175

The L.C.M. of two or more fractions = $\Large \frac{L.C.M. of numerators}{H.C.F. of denominators}$

First of all remove the decimals and convert these into fractions.

$\Large 2.5 = \frac{25}{10}$

$\Large 0.5 = \frac{5}{10}$

$\Large 0.175 = \frac{175}{1000}$

Now, first we will find the L.C.M. of numerators.

L.C.M. of 25, 5 and 175

$25 = 5\times5$

$5 = 5$

$175 = 5\times5\times7$

$= 5\times5\times7$

$= 175$

L.C.M. of $25, 5$ and $175$ $= 175$

Now, we will find out the H.C.F. of denominators.

H.C.F. of $10, 10, 1000$

$10 = 2\times5$

$10 = 2\times5$

$1000 = 2\times2\times2\times5\times5\times5$

H.C.F. of $10, 10$ and $1000 = 2\times5 = 10$

Thus, L.C.M. of Numerators/H.C.F. of denominators

$= \frac{175}{10}$

$= 17.5$

Therefore, L.C.M. of $2.5, 0.5$ and $0.175$ is $17.5$