The Cleveland Indians had the most runs per game by a team in 1923, with 5.79.

	TEAM	R/G	R	G	SEASON	W%	W	L	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	AVG	OBP	SLG	OPS
1	Indians	5.79	886	153	1923	.536	82	71	5,277	1,591	301	75	59	806	626	49	381	79	79	6,150	2,219	435	198	.301	.381	.421	.801
2	Giants	5.58	854	153	1923	.621	95	58	5,452	1,610	248	76	85	790	487	31	406	106	70	6,083	2,265	409	113	.295	.356	.415	.772
3	Yankees	5.42	824	152	1923	.645	98	54	5,345	1,555	231	80	105	767	511	35	515	69	74	6,036	2,261	416	145	.291	.357	.423	.780
4	Tigers	5.37	833	155	1923	.539	83	71	5,261	1,579	269	69	41	739	592	56	384	87	62	6,166	2,109	379	257	.300	.377	.401	.778
5	Pirates	5.1	786	154	1923	.565	87	67	5,405	1,592	224	111	49	701	407	28	362	154	75	5,943	2,185	384	103	.295	.347	.404	.751
6	Cubs	4.91	756	154	1923	.539	83	71	5,259	1,516	243	52	90	675	455	31	485	181	143	5,896	2,133	385	151	.288	.348	.406	.754
7	Robins	4.86	753	155	1923	.494	76	78	5,476	1,559	214	81	62	674	425	33	382	71	50	6,082	2,121	357	148	.285	.340	.387	.727
8	Cardinals	4.84	746	154	1923	.516	79	74	5,526	1,582	274	76	63	676	438	38	446	89	61	6,137	2,197	413	135	.286	.343	.398	.740
9	Phillies	4.83	748	155	1923	.325	50	104	5,491	1,528	259	39	112	677	414	39	556	70	73	6,054	2,201	410	110	.278	.333	.401	.734
10	Senators	4.64	719	155	1923	.490	75	78	5,243	1,435	224	93	26	626	529	50	450	102	64	6,053	1,923	343	231	.274	.346	.367	.713
11	Reds	4.6	708	154	1923	.591	91	63	5,278	1,506	237	95	45	645	439	33	367	96	105	5,935	2,068	377	185	.285	.344	.392	.736
12	Browns	4.45	686	154	1923	.487	74	78	5,296	1,491	248	62	82	613	439	26	425	64	54	5,970	2,109	392	209	.282	.340	.398	.738
13	White Sox	4.42	690	156	1923	.448	69	85	5,225	1,459	255	57	42	604	531	40	454	191	117	6,044	1,954	354	248	.279	.350	.374	.724
14	Athletics	4.33	662	153	1923	.454	69	83	5,199	1,407	229	64	53	577	452	44	523	72	62	5,866	1,923	346	171	.271	.334	.370	.704
15	Braves	4.1	636	155	1923	.351	54	100	5,329	1,455	213	58	32	569	429	31	404	57	80	5,957	1,880	303	168	.273	.331	.353	.684
16	Red Sox	3.79	584	154	1923	.401	61	91	5,170	1,353	253	54	34	525	389	41	481	79	89	5,761	1,816	341	161	.262	.318	.351	.670