There is no easy way to remember full periodic table .But yes i can tell you a way by which you can remember few of the groups of the table to an extent.
for alkaline metals and earth alkaline metals:
lina ki rubi ce sath frnship-----
for earth alkaline metals:
beta mange car santro bapu roe--
for p block elements:
bring allu gobi in thali--
carbon singh gae station punjab----
naya purana aj sab bikega---
os ose te po----
To learn periodic table make some sort of rthyming with the names of the elements.