m is a positive integer, so, lowest possible value of m=1.
Hence, in order to a+b+c+d = 4m+1, when m=1, at least one of a,b,c,d has to be greater than 1.
Take a=b=c=1; d=2
Which is equal to , for other values of a,b,c,d, will be greater than .
Hence, answer is B.