Add a color material property.

	// Draws 3 meshes with the same material but with different colors.
	var aMesh : Mesh;
	var aMaterial : Material = new Material(Shader.Find("VertexLit"));
	function Update() {
		var materialProperty : MaterialPropertyBlock = new MaterialPropertyBlock();
		// red mesh
		materialProperty.Clear();
		materialProperty.AddColor("_Color",Color.red);
		Graphics.DrawMesh(aMesh, Vector3(0,0,0), Quaternion.identity,
				  aMaterial, 0, null, 0, materialProperty);
		// green mesh
		materialProperty.Clear();
		materialProperty.AddColor("_Color",Color.green);
		Graphics.DrawMesh(aMesh, Vector3(5,0,0), Quaternion.identity,
				  aMaterial, 0, null, 0, materialProperty);
		// blue mes
		materialProperty.Clear();
		materialProperty.AddColor("_Color",Color.blue);
		Graphics.DrawMesh(aMesh, Vector3(-5,0,0), Quaternion.identity,
				  aMaterial, 0, null, 0, materialProperty);
	}

using UnityEngine;
using System.Collections;

public class Example : MonoBehaviour {
    public Mesh aMesh;
    public Material aMaterial = new Material(Shader.Find("VertexLit"));
    void Update() {
        MaterialPropertyBlock materialProperty = new MaterialPropertyBlock();
        materialProperty.Clear();
        materialProperty.AddColor("_Color", Color.red);
        Graphics.DrawMesh(aMesh, new Vector3(0, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty);
        materialProperty.Clear();
        materialProperty.AddColor("_Color", Color.green);
        Graphics.DrawMesh(aMesh, new Vector3(5, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty);
        materialProperty.Clear();
        materialProperty.AddColor("_Color", Color.blue);
        Graphics.DrawMesh(aMesh, new Vector3(-5, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty);
    }
}

import UnityEngine
import System.Collections

public class Example(MonoBehaviour):

	public aMesh as Mesh

	public aMaterial as Material = Material(Shader.Find('VertexLit'))

	def Update() as void:
		materialProperty as MaterialPropertyBlock = MaterialPropertyBlock()
		materialProperty.Clear()
		materialProperty.AddColor('_Color', Color.red)
		Graphics.DrawMesh(aMesh, Vector3(0, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty)
		materialProperty.Clear()
		materialProperty.AddColor('_Color', Color.green)
		Graphics.DrawMesh(aMesh, Vector3(5, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty)
		materialProperty.Clear()
		materialProperty.AddColor('_Color', Color.blue)
		Graphics.DrawMesh(aMesh, Vector3(-5, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty)

Function variant that takes nameID is faster. If you are adding properties with the same name repeatedly, use Shader.PropertyToID to get unique identifier for the name, and pass the identifier to AddColor.

	// Draws 3 meshes with the same material but with different colors.
	// Using the material tag ID.
	var aMesh : Mesh;
	var aMaterial : Material = new Material(Shader.Find("VertexLit"));
	function Update() {
		var materialProperty : MaterialPropertyBlock = new MaterialPropertyBlock();
		var tagID : int = Shader.PropertyToID("_Color");
		// red mesh
		materialProperty.Clear();
		materialProperty.AddVector(tagID,Color.red);
		Graphics.DrawMesh(aMesh, Vector3(0,0,0), Quaternion.identity,
				  aMaterial, 0, null, 0, materialProperty);
		// green mesh
		materialProperty.Clear();
		materialProperty.AddVector(tagID,Color.green);
		Graphics.DrawMesh(aMesh, Vector3(5,0,0), Quaternion.identity,
				  aMaterial, 0, null, 0, materialProperty);
		// blue mesh
		materialProperty.Clear();
		materialProperty.AddVector(tagID, Color.blue);
		Graphics.DrawMesh(aMesh, Vector3(-5,0,0), Quaternion.identity,
				  aMaterial, 0, null, 0, materialProperty);
	}

using UnityEngine;
using System.Collections;

public class Example : MonoBehaviour {
    public Mesh aMesh;
    public Material aMaterial = new Material(Shader.Find("VertexLit"));
    void Update() {
        MaterialPropertyBlock materialProperty = new MaterialPropertyBlock();
        int tagID = Shader.PropertyToID("_Color");
        materialProperty.Clear();
        materialProperty.AddVector(tagID, Color.red);
        Graphics.DrawMesh(aMesh, new Vector3(0, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty);
        materialProperty.Clear();
        materialProperty.AddVector(tagID, Color.green);
        Graphics.DrawMesh(aMesh, new Vector3(5, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty);
        materialProperty.Clear();
        materialProperty.AddVector(tagID, Color.blue);
        Graphics.DrawMesh(aMesh, new Vector3(-5, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty);
    }
}

import UnityEngine
import System.Collections

public class Example(MonoBehaviour):

	public aMesh as Mesh

	public aMaterial as Material = Material(Shader.Find('VertexLit'))

	def Update() as void:
		materialProperty as MaterialPropertyBlock = MaterialPropertyBlock()
		tagID as int = Shader.PropertyToID('_Color')
		materialProperty.Clear()
		materialProperty.AddVector(tagID, Color.red)
		Graphics.DrawMesh(aMesh, Vector3(0, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty)
		materialProperty.Clear()
		materialProperty.AddVector(tagID, Color.green)
		Graphics.DrawMesh(aMesh, Vector3(5, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty)
		materialProperty.Clear()
		materialProperty.AddVector(tagID, Color.blue)
		Graphics.DrawMesh(aMesh, Vector3(-5, 0, 0), Quaternion.identity, aMaterial, 0, null, 0, materialProperty)