Find the LCM of 0.72,0.64 and 0.968.
You asked:
Find the least common multiple of the following numbers: \(0.72\), \(0.64\), \(0.968\)
MathBot Answer:
The least common multiple is \(\displaystyle\frac{17424}{25}\).
First, convert all decimals to fractions $$\begin{aligned}0.72 &= \frac{18}{25}\\0.64 &= \frac{16}{25}\\0.968 &= \frac{121}{125}\\\end{aligned}$$
The LCM of a set of fractions is equal to the LCM of the numerators over the GCD of the denominators. $$\begin{aligned}\operatorname{lcm}\left(18, 16, 121\right) &= 17424\\ \operatorname{gcd}\left(25, 25, 125\right) &= 25\\ \operatorname{lcm}\left(\frac{18}{25}, \frac{16}{25}, \frac{121}{125}\right) &= \frac{17424}{25} \end{aligned}$$