Dear student,
Li, Na and K have many similar properties and are a part of Alkali metals. They are soft metals, highly reactive and all have valency = 1 i.e they form similar type of compounds. For e.g LiOH, NaOH and KOH.
Also they have low ionisation energy due to their large size in their respective period in periodic table. Hence they are kept in same group.
Regards