lcm
0.72,9.64,0.868
You asked:
Find the least common multiple of the following numbers: \(0.72\), \(9.64\), \(0.868\)
MathBot Answer:
The least common multiple is \(\displaystyle\frac{941346}{25}\).
First, convert all decimals to fractions $$\begin{aligned}0.72 &= \frac{18}{25}\\9.64 &= \frac{241}{25}\\0.868 &= \frac{217}{250}\\\end{aligned}$$
The LCM of a set of fractions is equal to the LCM of the numerators over the GCD of the denominators. $$\begin{aligned}\operatorname{lcm}\left(18, 241, 217\right) &= 941346\\ \operatorname{gcd}\left(25, 25, 250\right) &= 25\\ \operatorname{lcm}\left(\frac{18}{25}, \frac{241}{25}, \frac{217}{250}\right) &= \frac{941346}{25} \end{aligned}$$