Question

Which of the following expressions represents the LCM of 91x 2 y and 104xy 3? 13xy 728x 2y 3 13x 2y 728xy

Answer 1

728x^2y^3 is your answer

Answer 2

Answer:  the correct option is (B) $728x^2y^3.$

Step-by-step explanation:  We are given to select the correct L.C.M. of the following expressions :

$91x^2y~~~~~~\textup{and}~~~~~104xy^3.$

We know that

L.C.M. stands for the least common multiple.

Now, the prime factorization of the given expressions are as follows :

$91x^2y=7\times13\times x \times x \times y,\\\\104xy^3=2\times 2\times2\times 13\times x \times y\times y\times y.$

Therefore, the required L.C.M will be

$L.C.M.=2\times2\times2\times7\times13\times x\times x\times y\times y\times y=728x^2y^3.$

Thus, the L.C.M. of he given expressions is $728x^2y^3.$

Option (B) is CORRECT.