How to save multiple checkboxes to local storage?

I'm trying to save multiple check boxes in local storage, see the code below and you get he idea.

What i have tried so far:

$(function () {
var data = localStorage.getItem("favorite");

if (data !== null) {
    $("input[name='favorites']").attr("checked", "checked");
}
});
$("input[name='favorites']").click(function () {

if ($(this).is(":checked")) {
    localStorage.setItem("favorite", $(this).val());
} else {
    localStorage.removeItem("favorite");
}
});

Html

<input type="checkbox" class="faChkRnd" name="favorite1" id="like">
<input type="checkbox" class="faChkRnd" name="favorite2" id="like1">
<input type="checkbox" class="faChkRnd" name="favorite3" id="like2">