I create one element in my radioGroup like this:
var selectorLay1 = document.createElement('input');
        var selectorLay1Atributes = {
            'type': 'radio',
            'class': "selectorLay1",
            'id': "radioLay1",
            'name': "layouts",
            'onchange': "mv.createLayout(1,1)"};
I have different elements like this. But they all have the same name: 'layouts'. 
How to find all of this elements and disable them dynamically.
Try this:
var radios = document.getElementsByName('layouts');
for (var i = 0, r=radios, l=r.length; i < l;  i++){
    r[i].disabled = true;
}
Read https://developer.mozilla.org/en-US/docs/DOM/document.getElementsByName for getElementsByName
I'd suggest:
var inputs = document.getElementsByName('layouts');
for (var i = 0, len = inputs.length; i<len; i++){
    inputs[i].disabled = true;
}
Simple demo.
This will select the relevant elements with the name of layouts, and then, in the for {...} loop, iterate over those elements and set the disabled property.
Using a simple function approach:
function disableByName(elName){
    var els = document.getElementsByName(elName);
    if (els !== null){
        for (var i = 0, len = els.length; i<len; i++){
            els[i].disabled = true;
        }
    }
}
var button = document.getElementById('radioDisable');
button.addEventListener('click',function(e){
    e.preventDefault();
    disableByName('layouts');
}, false);
Simple demo.
Or, if you'd prefer, you can extend the Object prototype to allow you to directly disable those elements returned by the document.getElementsByName() selector:
Object.prototype.disable = function(){
    var that = this;
    for (var i = 0, len = that.length; i<len; i++){
        that[i].disabled = true;
    }
    return that;
};
document.getElementsByName('layouts').disable();
Simple demo.
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