Question

Find the LCM of 45,60 and 135 through their GCD

Answer 1

Answer: 540

Step-by-step explanation:

L.C.M of any 3 numbers a, b and c is given by

 L.C.M (a, b, c) = a*b*c/g.c.d(a*b, a*c, b*c)

 If a = 45, b = 60 and c = 135, on solving we get

g.c.d(45*60, 45*135, 60*135) = 675,

L.C.M = 45*60*135/675

L.C.M =540