a and b are both positive, even integers. The lowest common multiple of a and b can be written as (a·b)/n, where n is an integer. Which of the following may be false?
Choose the correct answer:
A) n is a factor of both a and b  B) a·b is even  C) (a·b)/n is even  D) (a·b)/n < a·b  E) n is a multiple of 4
A. n is a factor of both a and b : True since LCM is an integer and (a−b)/n is an integer.   B. a·b is even : True since both a and b are even, a-b is also even.   C. (a·b)/n is even : Hold   D. (a·b)/n &lt; a·b : True since n is an integer   E. n is a multiple of 4 : Hold   Plugin values for a and b and E is the only choice that can't be true always.   Answer is n is a multiple of 4
<result>E</result>
a and b are both positive, even integers. The lowest common multiple of a and b can be written as (a·b)/n, where n is an integer. Which of the following may be false?