show max 5 random pages of the grandchild level

<ul><?php
$page_ids = array();
  foreach( get_pages() as $pages ) {
  if(!$pages->post_parent) $page_ids[] = $pages->ID;
  }
foreach( $page_ids as $page_id ) :

$postid = $page_id;
$args = array(
'post_type' => 'page',
'post_status' => 'publish',
'posts_per_page' => -1,
'post_parent' => $postid
);
$child_level = get_posts($args);
if($child_level) :
foreach($child_level as $child_page) :

$args = array(
'post_type' => 'page',
'post_status' => 'publish',
'posts_per_page' => -1,
'post_parent' => $child_page->ID
);
$grandchild_level = get_posts($args);
if($grandchild_level) :
foreach($grandchild_level as $grandchild_page) {
$grandchild_ids[] = $grandchild_page->ID;
}
endif;

endforeach;
endif;

endforeach; //ends 'foreach( $page_ids as $page_id ) :'

$args = array(
'post_type' => 'page',
'post_status' => 'publish',
'posts_per_page' => 2,
'orderby' => 'rand',
'post__in' => $grandchild_ids
);
$my_query = null;
$my_query = new WP_Query($args);
if( $my_query->have_posts() ) {
while ($my_query->have_posts()) : $my_query->the_post(); ?>
<li><a href="<?php the_permalink(); ?>" title="<?php the_title(); ?>"><?php the_title(); ?></a></li>
<?php endwhile;
}
wp_reset_query();

?></ul>