(Find the LCM of):
a^2-b^2 + 2ab-c^2, (a + b)^2 - c^2 and (a + b-c)^2
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Correct option is :a2b2c2
We know that the least common multiple (LCM) is the smallest number or expression that is a common multiple of two or more numbers or algebraic terms.
We first factorize the given monomials a2bc,b2ac and c2ab as shown below:
a2bc=a×a×b×cb2ac=b×b×a×cc2ab=c×c×a×b
Now multiply all the factors, using each common factor only once, therefore, the LCM is:
a×a×b×b×c×c=a2b2c2
Hence, the LCM of a2bc,b2ac and c2ab is a2b2c2.
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