Q150
ArithmeticNumber System, LCM/HCF & Divisibility
Find the LCM of $\dfrac{4}{3}, \dfrac{8}{9}$ and $\dfrac{3}{5}$.
- a.20
- b.24
- c.$\dfrac{1}{24}$
- d.$\dfrac{1}{20}$
Answer: (B) 24
For fractions, $\text{LCM} = \dfrac{\text{LCM of numerators}}{\text{HCF of denominators}}$. Here, LCM of numerators $(4,8,3) = 24$, and HCF of denominators $(3,9,5) = 1$, so the LCM of the three fractions is $\dfrac{24}{1}=24$.