Actually, Edocman already supports Multiple languages feature. When you turn on Joomla multilingual feature, you are able to add Edocman categories or documents in different languages. But when your site has Falang extension installed, you are able to integrate Edocman with Falang easily. With this integration, you are able to translate Edocman content in Falang extension.
In Edocman package, you will see a compressed file: falang_elements.zip, this file contents Falang content element XML files for Edocman extension. It can't be installed through Joomla Installation manager tool.
To install package, you just need to upload file falang_elements.zip into directory:
root > administrator > components > com_falang > contentelements
and extract it
After that, you will able to translate content of Edocman categories, documents and license from main language to different languages.