IC quadruple 3 input positive and gate
You're not going to find an IC with four gates with three inputs each, as that would take 4*(3 inputs + 1 output) + power + gnd, or 18 pins which is not a standard logic package.

There are several logic ICs with three gates with three inputs each: 3 * (3 + 1) + 2 = 14 pins, which along with 16 pins is a standard package.

7410    triple 3-input NAND gate (available in HC and HCT versions)
7411    triple 3-input AND gate (available in HC and HCT versions)
4023    triple 3-input NAND gate
4073    triple 3-input AND gate


plus OR gates, NOR gates etc.