LCM of 7/5, 7/9, 7/2, 7/11.
You asked:
Find the least common multiple of the following numbers: \(\frac{7}{5}\), \(\frac{7}{9}\), \(\frac{7}{2}\), \(\frac{7}{11}\)
MathBot Answer:
The least common multiple is \(\displaystyle7\).
The LCM of a set of fractions is equal to the LCM of the numerators over the GCD of the denominators. $$\begin{aligned}\operatorname{lcm}\left(7, 7, 7, 7\right) &= 7\\ \operatorname{gcd}\left(5, 9, 2, 11\right) &= 1\\ \operatorname{lcm}\left(\frac{7}{5}, \frac{7}{9}, \frac{7}{2}, \frac{7}{11}\right) &= 7 \end{aligned}$$