Just a few notes.
First, you can keep multimeter in the loop and use current transformer at the same time. That will allow you to compare current in real time. Also you can enable statistics on multimeter and use mean value. That would allow for better accuracy.
On the scope, there is no need for math channel for this. You should enter input channel settings. First, set channel to current (A) not voltage (V). That will make scope show proper physical units (A). And then enter probe submenu and there you can enter decimal probe factor. Enter your conversion factor here.
Now you will have a channel that show proper value (scaled for probe factor), proper physical unit (A) and all that without using math channel.
And if you connect, for instance, a (differential !) voltage probe of voltage across that lamp, you can use math channel to multiply current and voltage channel and get real-time power curve. Or do all kinds of other analysis..