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1: L.C.M of (a,b) is 432,
L.C.M of (b,c) is 72,
L.C.M of (a,b) is 432.
Find the number of ordered pairs (a,b,c).
2: Find the number of triplets satisfying abc=60.
hi mehul
the l.c.m (a,b) = 2^4*3^3
l.c.m (b,c) = 2^3*3^2
l.c.m (c,a) = 2^4*3^3
the max value of b,c = 2^3*3^2
(2^3*3^2,2^3*3^2)
(2^3*3^2,2^3*3^1)
(2^3*3^2,2^3*3^0) similarly for 2^b
we get 7 and now interchanging b,c
we have 6 more one case when both are same
so 13 triplets
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