The LCM of \(\frac{3}{5},\frac{4}{9}\) and \(\frac{5}{8}\) is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 60
For fractions in their lowest terms, LCM \(=\) LCM of the numerators \(\div\) HCF of the denominators. The LCM must be a number that each fraction divides into a whole number of times.
LCM of the numerators 3, 4, 5 \(=60\)
HCF of the denominators 5, 9, 8 \(=1\)
LCM \(\displaystyle =\frac{60}{1}=60\)
Tip: For fractions the rule is LCM of numerators over HCF of denominators, and the other way round for the HCF: HCF of numerators over LCM of denominators.