Find the LCM of the following numbers by prime factorisation method -
(1) 48 and 60
(2)30,36 and45
(3)112,168 and 266
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Solution:
1). 48 = 2 x 2 x 2 x 2 x 3 = (2)4 x 3
60 = 2 x 2 x 3 x 5 = (2)2 x 3 x 5
L.C.M = (2)4 x 3 x 5
= 240
2) LCM of 30, 36 and 45 = (2)2 x (3)2 x 5
= 180
3) LCM of 112, 168, and 266 = (2)4 x 3 x 7 x 19
= 6384
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