LeBron James has the most games for the Heat with 10+ rebounds, 20+ points and 5+ assists in a season, with 19 games in 2012-13 and in 2010-11.

most games with 20 points, 10 rebounds, and 5 assists in a season for the heat

Interpreted as:

most games by a player with 20 or more points, 10 or more rebounds, and 5 or more assists in a season for the heat

NAME	GP	PTS	REB	AST	SEASON	TM	MPG	PPG	RPG	APG	SPG	BPG	TPG	FGM	FGA	FG%	3PM	3PA	3P%	FTM	FTA	FT%	MIN	STL	BLK	TOV	PF	+/-
LeBron James	19	525	215	148	2012-13	MIA	38.9	27.6	11.3	7.8	1.8	0.7	2.6	10.6	20.2	52.6	1.8	4.4	40.5	4.6	6.7	68.0	739	35	14	49	26	+125
LeBron James	19	601	210	147	2010-11	MIA	41.9	31.6	11.1	7.7	1.9	0.5	3.9	11.1	21.6	51.1	1.3	4.1	32.1	8.2	11.0	74.6	797	37	10	75	39	+118
Bam Adebayo	14	333	164	91	2023-24	MIA	35.3	23.8	11.7	6.5	1.0	1.0	3.1	8.9	16.2	55.1	0.4	0.8	45.5	5.6	6.9	80.4	495	14	14	44	29	+17
LeBron James	12	344	138	77	2011-12	MIA	38.3	28.7	11.5	6.4	1.6	0.8	2.9	10.0	19.1	52.4	0.7	2.0	33.3	8.0	10.7	75.0	460	19	10	35	24	+103
Bam Adebayo	10	234	130	73	2019-20	MIA	37.0	23.4	13.0	7.3	1.6	1.0	3.8	8.8	14.6	60.3	0.0	0.6	0.0	5.8	7.5	77.3	370	16	10	38	28	+111
Shaquille O'Neal	7	180	82	40	2004-05	MIA	38.3	25.7	11.7	5.7	0.3	2.6	3.0	10.4	18.1	57.5	0.0	0.0		4.9	12.6	38.6	268	2	18	21	26	+69
Bam Adebayo	6	143	70	33	2022-23	MIA	36.3	23.8	11.7	5.5	0.7	1.7	2.8	9.5	15.5	61.3	0.0	0.0		4.8	6.0	80.6	218	4	10	17	16	+1
Jimmy Butler	6	167	65	52	2020-21	MIA	38.0	27.8	10.8	8.7	1.3	0.3	1.7	9.3	18.7	50.0	0.2	1.8	9.1	9.0	10.2	88.5	228	8	2	10	9	+18
Jimmy Butler	6	139	73	51	2019-20	MIA	37.0	23.2	12.2	8.5	1.5	0.7	3.0	8.0	15.3	52.2	0.8	2.3	35.7	6.3	8.5	74.5	222	9	4	18	5	+42
Lamar Odom	6	154	76	40	2003-04	MIA	43.2	25.7	12.7	6.7	1.7	0.7	3.2	8.8	17.0	52.0	1.5	3.3	45.0	6.5	9.2	70.9	259	10	4	19	19	+54
Jimmy Butler	5	128	51	42	2022-23	MIA	35.0	25.6	10.2	8.4	2.2	0.6	2.4	8.6	15.6	55.1	0.4	1.0	40.0	8.0	10.0	80.0	175	11	3	12	8	0
Bam Adebayo	5	126	59	27	2020-21	MIA	35.6	25.2	11.8	5.4	1.2	1.0	4.2	10.0	16.4	61.0	0.2	0.4	50.0	5.0	6.6	75.8	178	6	5	21	12	+16
Dwyane Wade	5	150	64	33	2010-11	MIA	39.6	30.0	12.8	6.6	0.8	1.6	4.2	11.2	22.6	49.6	0.6	2.8	21.4	7.0	10.4	67.3	198	4	8	21	17	+46
Alonzo Mourning	5	122	65	28	1995-96	MIA	39.8	24.4	13.0	5.6	0.8	3.8	2.8	8.8	16.6	53.0	0.0	0.2	0.0	6.8	11.8	57.6	199	4	19	14	15
Jimmy Butler	4	120	43	37	2021-22	MIA	41.0	30.0	10.8	9.3	1.5	1.3	3.3	10.8	20.0	53.8	1.0	3.5	28.6	7.5	8.8	85.7	164	6	5	13	8	+3
LeBron James	4	113	50	29	2013-14	MIA	36.8	28.3	12.5	7.3	1.8	0.0	4.3	10.3	17.3	59.4	1.5	3.8	40.0	6.3	9.8	64.1	147	7	0	17	5	+9
Dwyane Wade	4	129	41	29	2005-06	MIA	41.6	32.3	10.3	7.3	2.0	1.0	6.0	11.3	22.0	51.1	0.0	0.5	0.0	9.8	12.0	81.3	166	8	4	24	13	+45
Dwyane Wade	3	96	31	17	2009-10	MIA	41.4	32.0	10.3	5.7	1.7	1.0	2.3	10.0	23.7	42.3	2.0	4.7	42.9	10.0	13.7	73.2	124	5	3	7	7	-29
Dwyane Wade	3	82	32	27	2006-07	MIA	42.6	27.3	10.7	9.0	1.3	1.7	4.3	10.3	23.3	44.3	0.7	1.3	50.0	6.0	8.7	69.2	128	4	5	13	5	+19
Tyler Herro	2	49	23	10	2022-23	MIA	36.2	24.5	11.5	5.0	1.0	0.0	1.5	8.5	19.0	44.7	3.5	10.0	35.0	4.0	4.0	100.0	72	2	0	3	1	-5
Bam Adebayo	2	54	24	12	2021-22	MIA	34.1	27.0	12.0	6.0	1.0	0.0	4.5	11.5	17.0	67.6	0.0	0.0		4.0	6.0	66.7	68	2	0	9	10	+3
Dwyane Wade	2	53	20	12	2013-14	MIA	36.2	26.5	10.0	6.0	1.0	0.5	4.5	11.5	20.5	56.1	0.5	0.5	100.0	3.0	3.5	85.7	72	2	1	9	2	+12
Dwyane Wade	2	83	20	18	2008-09	MIA	44.4	41.5	10.0	9.0	3.5	1.0	4.5	16.5	32.0	51.6	2.0	6.0	33.3	6.5	7.5	86.7	89	7	2	9	3	+34
Dwyane Wade	2	79	20	16	2004-05	MIA	45.5	39.5	10.0	8.0	1.0	0.5	3.5	15.0	25.5	58.8	1.0	1.5	66.7	8.5	11.5	73.9	91	2	1	7	8	+18
Eddie Jones	2	47	23	10	2001-02	MIA	45.5	23.5	11.5	5.0	1.0	3.0	3.5	6.0	14.0	42.9	3.5	6.0	58.3	8.0	10.5	76.2	91	2	6	7	6	-9