LCM of 1/10 , 1/30

asked by guest
on Nov 17, 2024 at 2:00 pm



You asked:

Find the least common multiple of the following numbers: \(\frac{1}{10}\), \(\frac{1}{30}\)

MathBot Answer:

The least common multiple is \(\displaystyle\frac{1}{10}\).


The LCM of a set of fractions is equal to the LCM of the numerators over the GCD of the denominators. $$\begin{aligned}\operatorname{lcm}\left(1, 1\right) &= 1\\ \operatorname{gcd}\left(10, 30\right) &= 10\\ \operatorname{lcm}\left(\frac{1}{10}, \frac{1}{30}\right) &= \frac{1}{10} \end{aligned}$$