Question

The LCM of C² a and b is abc. a²bc. ab²c. abc.​

Answer 1

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 a