Encoding Multiply Files to UTF8 without BOM with C#

Console.WriteLine("put bellow the path of files:");
    string path = Console.ReadLine();
    File.SetAttributes(path, FileAttributes.Normal);

    var files = Directory.GetFiles(path);

    var utf8WithoutBOM = new System.Text.UTF8Encoding(false);

    foreach (var file in files)
    {
        File.SetAttributes(file, FileAttributes.Normal);
        var content = File.ReadAllLines(file);
        Console.WriteLine("Converting the file '"+ file + "'...");
        System.IO.File.WriteAllLines(file, content,utf8WithoutBOM);
        Console.WriteLine(file + " Converted");
    }
    Console.WriteLine("Done.");