$('button').click(function() {
    var maximumValue = parseInt($('#maximumValue').val());
    
    var answer = null;
    for (var proposal = 1; proposal <= maximumValue; ++proposal ) {
        var success = true;
        for (var divisor = 1; divisor <= 9; ++divisor ) {
            if (proposal % divisor !== 0) {
                success = false;
                break;
            }
        }

        if (success)
        {
            answer = proposal;
            break;
        }
    }
    
    if (answer) {
        alert("The answer is: " + answer); 
    } else {
        alert("Couldn't find answer. Try increasing maximum value."); 
    }
});

<p>
    <a href="http://goo.gl/3Nf8">
        <img src="http://goo.gl/Zjyu" />
    </a>
</p>
<span>Maximum Value</span>
<input id="maximumValue" type="text" value="99999"/>
<button>Find Answer</button>

jsFiddle