The Chicago Cubs had their most games with 3+ runs in a season in 1930, with 131 games.

Interpreted as:

cubs most games with 3 or more runs in a season

	TEAM	G	R	SEASON	W%	W	L	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP	AVG	OBP	SLG	OPS
1	Cubs	131	971	1930	.682	88	41	4,824	1,575	285	63	164	915	514	34	529	64		5,505	2,478	512	133				.326	.395	.514	.909
2	Cubs	130	788	1998	.646	84	46	4,618	1,302	227	29	196	748	521	35	969	57	33	5,266	2,175	452	57	35	47	93	.282	.357	.471	.828
3	Cubs	130	954	1929	.724	92	35	4,688	1,507	280	43	134	907	537	27	480	94		5,394	2,275	457	142				.321	.394	.485	.880
4	Cubs	126	761	2016	.770	97	29	4,408	1,232	257	29	188	722	552	79	1,004	55	24	5,102	2,111	474	34	29	39	90	.279	.368	.479	.847
5	Cubs	126	811	2008	.746	94	32	4,472	1,330	296	19	170	769	532	47	896	80	28	5,146	2,174	485	52	43	47	102	.297	.375	.486	.861
6	Cubs	125	719	1996	.576	72	53	4,357	1,178	218	18	160	679	444	53	825	92	37	4,952	1,912	396	55	43	38	94	.270	.342	.439	.781
7	Cubs	124	774	2023	.629	78	46	4,324	1,193	243	25	180	742	457	67	1,047	124	28	4,911	2,026	448	14	49	10	66	.276	.351	.469	.819
8	Cubs	123	700	2007	.650	80	43	4,370	1,273	286	25	138	662	406	37	785	67	29	4,889	2,023	449	41	35	44	97	.291	.354	.463	.817
9	Cubs	122	660	1989	.730	89	33	4,236	1,192	189	42	112	615	405	23	697	122	47	4,777	1,801	343	68	45	72	88	.281	.344	.425	.769
10	Cubs	122	783	1931	.645	78	43	4,343	1,345	297	51	78	723	478	20	501	40		4,948	1,978	426	107				.310	.381	.455	.836
11	Cubs	121	742	2004	.686	83	38	4,296	1,266	261	25	220	710	386	36	770	51	17	4,824	2,237	506	62	44	36	95	.295	.354	.521	.875
12	Cubs	121	678	1932	.711	86	35	4,384	1,297	269	54	63	628	343	22	404	43		4,856	1,863	386	107				.296	.350	.425	.775
13	Cubs	120	706	2000	.492	59	61	4,237	1,168	233	22	161	667	504	49	841	79	27	4,904	1,928	416	73	41	44	76	.276	.356	.455	.811
14	Cubs	120	714	1923	.633	76	44	4,192	1,283	213	46	85	638	388	27	382	162		4,737	1,843	344	130				.306	.369	.440	.808
15	Cubs	119	738	1922	.661	78	40	4,148	1,304	216	65	40	645	429	25	340	82		4,780	1,770	321	178				.314	.382	.427	.809
16	Cubs	118	672	2003	.669	79	39	4,107	1,156	244	23	159	643	396	42	806	64	19	4,655	1,923	426	67	43	34	97	.281	.347	.468	.816
17	Cubs	118	690	1945	.771	91	27	4,102	1,226	194	45	53	633	476	27	341	60		4,737	1,669	292	132			77	.299	.375	.407	.782
18	Cubs	118	711	1911	.750	87	29	3,939	1,114	188	93	49		475	38	479	192		4,573	1,635	330	121				.283	.365	.415	.781
19	Cubs	117	674	1913	.724	84	32	3,857	1,075	170	85	55		446	38	469	149		4,481	1,580	310	140				.279	.359	.410	.769
20	Cubs	117	715	1912	.730	84	31	3,964	1,190	201	82	38	623	457	35	456	141		4,616	1,669	321	160				.300	.377	.421	.799
21	Cubs	116	644	2005	.612	71	45	4,103	1,201	263	21	171	619	333	39	651	52	33	4,561	2,019	455	52	34	38	76	.293	.349	.492	.841
22	Cubs	116	709	2001	.690	80	36	3,982	1,139	214	28	166	681	441	53	761	55	24	4,615	1,907	408	91	48	59	90	.286	.361	.479	.840
23	Cubs	116	633	1990	.612	71	45	4,099	1,180	192	34	117	592	315	27	622	113	36	4,533	1,791	343	47	45	54	71	.288	.339	.437	.776
24	Cubs	116	634	1983	.578	67	49	4,058	1,163	223	36	123	585	368	25	615	64	29	4,551	1,827	382	57	43	55	86	.287	.346	.450	.796
25	Cubs	116	643	1967	.713	82	33	3,977	1,101	172	43	115	589	406	26	653	55	32	4,537	1,704	330	82	46	78	76	.277	.344	.428	.773