JSFiddle - React, Tailwind, and code Playground

HTML

<div><select class="branch"><option value="0">Выберете альбом</option></select>
    <input class="check_photos" type="checkbox" /></div>
<div><select class="branch"><option value="0">Выберете альбом</option></select>
    <input class="check_photos" type="checkbox" /></div>
<div><select class="branch"><option value="0">Выберете альбом</option></select>
    <input class="check_photos" type="checkbox" /></div>
<div><select class="branch"><option value="0">Выберете альбом</option></select>
    <input class="check_photos" type="checkbox" /></div>
<hr>
<select id="AlbumId">
    <option value="0">1</option>
    <option value="0">2</option>
    <option value="0">3</option>
    <option value="0">4</option>
</select>

JavaScript

$("#AlbumId").on('change', function () {
    var checked = $(this).html();    $('input[type=checkbox].check_photos:checked').prevAll('.branch').html(checked);
});