2019 · Q18
What is the LCM of 1/3, 5/6, 2/9, 4/27?
Elementary MathematicsHCF and LCM
- A5/18
- B1/27
- C10/27
- D20/3
Explanation
The LCM of fractions is (LCM of numerators)/(HCF of denominators). LCM(1, 5, 2, 4) = 20 and HCF(3, 6, 9, 27) = 3, so the LCM is 20/3. As a check, (20/3) ÷ (1/3) = 20, ÷ (5/6) = 24, ÷ (2/9) = 30 and ÷ (4/27) = 45 are all integers, and no smaller positive value works. The answer is (D).