Find L.C.M. of 2/3, 8/9, 64/81, 10/27.

Question: Find L.C.M. of 2/3, 8/9, 64/81, 10/27.Solution:L.C.M. = L.C.M. of Numerator/H.C.F. of DenominatorL.C.M. of numerators (2, 8, 64, 10)2 = 218 = 2364 = 2610 = 2 × 5L.C.M of 2, 8, 64, 10 = 26 × 5 = 320H.C.F. of denominators = 3, 9, 81, 273 = 319 = 3281 = 3427 = 33H.C.F. of 3, 9, 81, 27 = 3∴ L.C.M. of 2/3, 8/9, 64/81, 10/27 = 320/3