I'm pretty sure I know the consensus on this, but I'm curious to walk it through anyway.
Shiva arms (RF pg 118) gives you an extra pair (or two!) of arms, and the text says basically you can use the multiple attack option in SR core (pg 196) that everyone can already use. However it does also explicitly say you can "wield" melee and firearm weapons simultaneously. More on this later.
The Multiple Attack free action allows you to attack multiple people with what's implicitly one attack. The example in the sidebar demonstrates an unarmed attack and the rules don't address the possibility of making a Multiple Attack via multiple weapons: a multiple attack splits one dice pool up.
So what to make of say, making multiple attacks with different weapons? Say a Knife and an offhand punch or a kick? Doesn't appear possible under the Multiple Attack rules. The expanded combat actions section in RG doesn't provide a means to make multiple attacks with different weapons, either. Absence doesn't necessarily mean anything, but in this particular case it may well be true that if The Powers That Be intended for it to be possible to make Multiple Attacks with disparate weapons this would have been the place it would be. RG does provide an avenue for the ever popular "Dual Wield" combat style in the martial arts via the Two-Weapon Style Attack. You can use two weapons, and they don't even have to be identical weapons. However they do implicitly have to be governed by the same skill (blades or clubs) as the two weapons are "merged" into one weapon for one attack roll. Therefore can't work with a club in one hand and a blade in the other hand.
So going back to Shiva Arms letting you explicitly "wield" different kinds of weapons in your many arms. If a Narataki has a stun baton in one hand, a sword in another, and an Assault rifle in the remaining two hands and quite naturally wants to make a Multiple Attack, how is it handled? (let's presume the character bought Ambidexterity 3 times so that there's no off hand complications).
Attempting a melee and a firearms attack simultaneously just can't combine dice pools. But where every other "multiple attack" option boils it down into one dice pool, how do you do that in the case of Shiva arms? It's a quality specific corner case, but the quality doesn't address it other than saying it's possible to get the effect. So what do you do, just split agility between the attacks and then split skill dice between the attacks the skill governs? E.G. If a Shiva arm PC wants to make 4 knife attacks, obviously you split agility and blades between 4 attacks. What about 2 knife attacks and 2 pistol attacks? It's got to be pistol dice between 2 attacks, blades dice between 2 attacks, and agility between 4 attacks, right?
But if so, then obviously it serves the player's interest to make 4 attacks with 4 different skills so that only AGI is split, isn't it? (Stun baton in one hand, sword in the second, a pistol attack in the 3rd, and an unarmed attack with the 4th).
If it doesn't work that way, then what's the point of Shiva arms at all if you can't wield multiple weapons? Or does "wield" not necessarily imply anything beyond holding it in your many hands? 1 complex action still only generates 1 attack. In order to get multiple attacks, even a Shiva arm must use weapons governed by the same skill?