This denominator must, if the fractions are in their lowest terms (§ 54), be a multiple of each of the denominators; it is usually most convenient that it should be their L.C.M.
Fraction in its Lowest Terms.-A fraction is said to be in its lowest terms when its numerator and denominator have no common the more correct method is to write it a: b.
factor; or to be reduced to its lowest terms when it is replaced by such a fraction.
Thus 2 of A is said to be reduced to its lowest terms when it is replaced by 1 - 4 1 - of A.
(ii) Each convergent is a fraction in its lowest terms.