If I have a project using LGPL (GNU Lesser General Public License), would I be able to use within it another component which is under GPLv3?
Is there any site where I can see all the compatible licenses with GPLv3?
Yes; both LGPLv2.1 and LGPLv3 are compatible with GPLv3. You can find more details, and the resource you were looking for, at the FSF's licence summary page, which includes their take on which licences are compatible with the various versions of the GNU GPL.
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3Perhaps it's also worth mentioning the (L)GPL compatibility matrix which is much less comprehensive but covers GPL-LGPL interaction more closely. – apsillers♦ Feb 21 '19 at 17:52
