Is this build good? budget $600

[mcfinnegans]

CPU:AMD A6-3500 Llano 2.1GHz (2.4GHz Max Turbo) Socket FM1 65W Triple-Core Desktop APU with DirectX 11 Graphic AMD Radeon HD 6530D AD3500OJGXBOX
http://www.newegg.ca/Product/Product.aspx?Item=N82E16819103951 $90
Motherboard:ASRock A55 PRO3 FM1 AMD A55 (Hudson D2) HDMI SATA 6Gb/s USB 3.0 ATX AMD Motherboard
http://www.newegg.ca/Product/Product.aspx?Item=N82E16813157278 $85
Hard Drive:Western Digital Caviar Blue WD1600BB 160GB 7200 RPM 2MB Cache IDE Ultra ATA100 / ATA-6 3.5" Hard Drive -Bare Drive
http://www.newegg.ca/Product/Product.aspx?Item=N82E16822136827&cm_sp=DailyDeal-_-22-136-827-_-Product $40
RAM:CORSAIR XMS3 6GB (3 x 2GB) 240-Pin DDR3 SDRAM DDR3 1600 (PC3 12800) Desktop Memory Model CMX6GX3M3A1600C9
http://www.newegg.ca/Product/Product.aspx?Item=N82E16820145258 $42
Optical Drive:LITE-ON DVD Burner - Bulk 24X DVD+R 8X DVD+RW 12X DVD+R DL 24X DVD-R 6X DVD-RW 16X DVD-ROM 48X CD-R 32X CD-RW 48X CD-ROM Black SATA Model iHAS124-04 - OEM
http://www.newegg.ca/Product/Product.aspx?Item=N82E16827106289 $21
Power Supply:Rosewill Green Series RG700-S12 700W Continuous @40°C,80 PLUS Certified,Single 12V Rail,ATX12V v2.3 / EPS12V v2.9
http://www.newegg.ca/Product/Product.aspx?Item=N82E16817182191 $70
Graphics Card:HIS IceQ H657QO1G Radeon HD 6570 1GB 128-bit DDR3 PCI Express 2.1 x16 HDCP Ready Video Card X2
http://www.newegg.ca/Product/Product.aspx?Item=N82E16814161391 $74 x2
Cooling: Stock
Case:Coolermaster Haf 912 Black Mid Tower ATX Case 4X5.25 1X3.5 6X3.5INT No PS Front USB Sound $50
+
Kingston SSDNow V100 Series 64GB 2.5IN SSD SATA Solid State Disk Flash Drive $70
$546 without SSD
$616 with SSD

can this run league of legends at a solid rate?

 

[Xxsjxx]

Look into a black edition Amd processor like the phenom x4 or the 1090t maybe, and spend less on a mobo.

 

[DelroyMonjo]

League of Legends will run on just about anything.
You show triple channel RAM, get 4GB of dual channel, 2X2GB
No need for the big power supply, a 500 W certified will do.
'Budget' builds don't usually include SSD's. You might load your OS faster but it won't do much for a multiplayer online game.