If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/n, which of the following statements could be false? Choose the correct answer
A) n is a factor of both a and b	B) (a*b)/n < ab	C) ab is multiple of 2.	D) (a*b)/n is a multiple of 2	E) n is a multiple of 4.
If we divide by n and get a multiple of a and of b, then n must be a common factor. Answer A must be true.   If a and b are even integers, dividing by a factor (also an integer) results in something smaller than the product ab. Answer B must be true.   If either a or b is even, then ab must be even. Answer C must be true.   If both are even, the smallest either number can be is 2. Thus, the smallest common factor must be 2. Answer D must be true.   If b is 6 and a is 2, n would be 6, which is not 4. E can be false.   ANSWn is a multiple of 4.R:n is a multiple of 4.
<result>E</result>
If a and b are positive even integers, and the least common multiple of a and b is expressed as a*b/n, which of the following statements could be false?