LoRaWAN is a low-power and wide-range communication technology that is well suited for the demands of Internet-of-Things. It uses ALOHA with a duty cycle limitation as a channel access method to avoid complexity and communication overheads at the end devices as well as to ensure a fair access to the channel. However, given the large number of devices that are expected to integrate this network, scalability or the network capacity will be one of the fundamental issues that will need to be investigated before any large network deployment. This paper analyses the throughput of multi-channel multi-gateway LoRaWAN with duty cycle limitation. Throughput formulae for diverse scenarios including regularly tiled multi-gateway networks are derived and validated through simulations. Also considered is the throughput for applications that require a packet to be received by multiple gateways-for example, radio localization requires reception by three gateways-simultaneously to be successful.