diff --git a/pypy3.spec b/pypy3.spec
index 1f45c89..b781dfb 100644
--- a/pypy3.spec
+++ b/pypy3.spec
@@ -688,7 +688,6 @@ install -m0644 -p -D -t %{buildroot}/%{_rpmconfigdir}/macros.d %{SOURCE2}
 
 # Remove files we don't want:
 rm -f %{buildroot}%{_libdir}/%{name}-%{basever}.tar.bz2 \
-   %{buildroot}%{pypyprefix}/LICENSE \
    %{buildroot}%{pypyprefix}/README.rst
 
 # wtf? This is probably masking some bigger problem, but let's do this for now
@@ -828,18 +827,19 @@ CheckPyPy %{name}-stackless
 %endif # run_selftests
 
 # Because there's a bunch of binary subpackages and creating
-# /usr/share/licenses/pypy3-this and /usr/share/licenses/pypy3-that
+# /usr/share/doc/pypy3-this and /usr/share/doc/pypy3-that
 # is just confusing for the user.
 %global _docdir_fmt %{name}
 
 %files libs
-%license LICENSE
 %doc README.rst
 
 %dir %{pypyprefix}
 %dir %{pypyprefix}/lib-python
+%license %{pypyprefix}/LICENSE
 %{pypyprefix}/lib-python/%{pylibver}/
 %{pypyprefix}/lib_pypy/
+%license %{pypyprefix}/lib_pypy/*/LICENSE
 %{pypyprefix}/site-packages/
 %if %{with_emacs}
 %{_emacs_sitelispdir}/pypy3trace-mode.el
@@ -847,7 +847,6 @@ CheckPyPy %{name}-stackless
 %endif
 
 %files
-%license LICENSE
 %doc README.rst
 %{_bindir}/pypy3
 %{_bindir}/pypy%{pyversion}
@@ -862,7 +861,6 @@ CheckPyPy %{name}-stackless
 
 %if 0%{with_stackless}
 %files stackless
-%license LICENSE
 %doc README.rst
 %{_bindir}/pypy-stackless
 %endif