Here are the totals, dollar amounts are in millions:
For direct comparison, the top three GOP groups raised 50% more than Democrats, and have almost 30% more in the bank. In dollars, the DSCC's lead over the NRSC is more than made up for by the other top Republican organizations.
It also makes some sense that the NRSC would have some fundraising problems - it can be hard to explain that as a practical matter, 55 Republican Senators are not enough to control the chamber and prevent obstruction by the minority party.
Unfortunately, most media reporting focuses on comparing two of the organizations that raise the least money, leaving out the context.
Update, June 12: Republicans Continue to Outraise Democrats