LCM OF 21/40, 12/25,18/35,9/19
You asked:
Find the least common multiple of the following numbers: \(\frac{21}{40}\), \(\frac{12}{25}\), \(\frac{18}{35}\), \(\frac{9}{19}\)
MathBot Answer:
The least common multiple is \(\displaystyle252\).
The LCM of a set of fractions is equal to the LCM of the numerators over the GCD of the denominators. $$\begin{aligned}\operatorname{lcm}\left(21, 12, 18, 9\right) &= 252\\ \operatorname{gcd}\left(40, 25, 35, 19\right) &= 1\\ \operatorname{lcm}\left(\frac{21}{40}, \frac{12}{25}, \frac{18}{35}, \frac{9}{19}\right) &= 252 \end{aligned}$$