The code for the widget, as given by last.fm and used on my profile, is :
<lj-embed><div height="239" width="184"><style type="text/css">table.lfmWidgetlivejournal_chart_e692fadaac4a6ea2da29f280e6fb7e7b td {margin:0 !important;padding:0 !important;border:0 !important;}table.lfmWidgetlivejournal_chart_e692fadaac4a6ea2da29f280e6fb7e7b tr.lfmHead a:hover {background:url(http://cdn.last.fm/widgets/images/en/header/chart/recenttracks_regular_black.png) no-repeat 0 0 !important;}table.lfmWidgetlivejournal_chart_e692fadaac4a6ea2da29f280e6fb7e7b tr.lfmEmbed object {float:left;}table.lfmWidgetlivejournal_chart_e692fadaac4a6ea2da29f280e6fb7e7b tr.lfmFoot td.lfmConfig a:hover {background:url(http://cdn.last.fm/widgets/images/en/footer/black.png) no-repeat 0px 0 !important;;}table.lfmWidgetlivejournal_chart_e692fadaac4a6ea2da29f280e6fb7e7b tr.lfmFoot td.lfmView a:hover {background:url(http://cdn.last.fm/widgets/images/en/footer/black.png) no-repeat -85px 0 !important;}table.lfmWidgetlivejournal_chart_e692fadaac4a6ea2da29f280e6fb7e7b tr.lfmFoot td.lfmPopup a:hover {background:url(http://cdn.last.fm/widgets/images/en/footer/black.png) no-repeat -159px 0 !important;}</style>
<table class="lfmWidgetlivejournal_chart_e692fadaac4a6ea2da29f280e6fb7e7b" cellpadding="0" cellspacing="0" border="0" style="width:184px;"><tr class="lfmHead"><td><a title="beatlefool: Recently Listened Tracks" href="http://www.last.fm/user/beatlefool/" target="_blank" style="display:block;overflow:hidden;height:20px;width:184px;background:url(http://cdn.last.fm/widgets/images/en/header/chart/recenttracks_regular_black.png) no-repeat 0 -20px;text-decoration:none;border:0;"></a></td></tr><tr class="lfmEmbed"><td><object type="application/x-shockwave-flash" data="http://cdn.last.fm/widgets/chart/friends_6.swf" codebase="http://download.macromedia.com/pub/shockwave/cabs/flash/swflash.cab#version=7,0,0,0" width="184" height="199" > <param name="movie" value="http://cdn.last.fm/widgets/chart/friends_6.swf" /> <param name="flashvars" value="type=recenttracks&user=beatlefool&theme=black&lang=en&widget_id=livejournal_chart_e692fadaac4a6ea2da29f280e6fb7e7b" /> <param name="bgcolor" value="000000" /> <param name="quality" value="high" /> <param name="allowScriptAccess" value="always" /> <param name="allowNetworking" value="all" /> </object></td></tr><tr class="lfmFoot"><td style="background:url(http://cdn.last.fm/widgets/images/footer_bg/black.png) repeat-x 0 0;text-align:right;"><table cellspacing="0" cellpadding="0" border="0" style="width:184px;"><tr><td class="lfmConfig"><a href="http://www.last.fm/widgets/?colour=black&chartType=recenttracks&user=beatlefool&chartFriends=1&from=code&widget=chart&path=livejournal" title="Get your own widget" target="_blank" style="display:block;overflow:hidden;width:85px;height:20px;float:right;background:url(http://cdn.last.fm/widgets/images/en/footer/black.png) no-repeat 0px -20px;text-decoration:none;border:0;"></a></td><td class="lfmView" style="width:74px;"><a href="http://www.last.fm/user/beatlefool/" title="View beatlefool's profile" target="_blank" style="display:block;overflow:hidden;width:74px;height:20px;background:url(http://cdn.last.fm/widgets/images/en/footer/black.png) no-repeat -85px -20px;text-decoration:none;border:0;"></a></td><td class="lfmPopup"style="width:25px;"><a href="http://www.last.fm/widgets/popup/?colour=black&chartType=recenttracks&user=beatlefool&chartFriends=1&from=code&widget=chart&path=livejournal&resize=1" title="Load this chart in a pop up" target="_blank" style="display:block;overflow:hidden;width:25px;height:20px;background:url(http://cdn.last.fm/widgets/images/en/footer/black.png) no-repeat -159px -20px;text-decoration:none;border:0;" onclick="window.open(this.href + '&resize=0','lfm_popup','height=299,width=234,resizable=yes,scrollbars=yes'); return false;"></a></td></tr></table></td></tr></table></div></lj-embed>If possible, it would either go in the current free text component, or I would make another; I am still unsure. My theme layer, if needed, is here. Apologies for the mess, and many thanks.