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