If A, B and C are three numbers, such that the L.C.M. of A and B is B and the L.C.M. of B and C is C, then the L.C.M. of A, B and C is:
Show answer & explanation
Correct answer: C
Explanation
Has been given :
LCM(A, B) = B
LCM(B, C) = C
According to the formula:
If LCM(a, b) = b ⇒ a is a factor of b
LCM(A, B) = B ⇒ A is a factor of B
LCM(B, C) = C ⇒ B is a factor of C
Hence A, B are both factors of C.
Therefore LCM(A, B, C) = C