I have 90 (+/- 1).
http://www.ourlads.com/nfldepthcharts/roster/LAR
This list has 86 players..
31
Alexander, Mo SS 02/16/1991 26 6' 01" 220 Utah State SL 14 04 110 3
11
Austin, Tavon WR 03/15/1991 26 5' 08" 174 West Virginia SL 13 01 008 4
26
Barron, Mark SS 10/27/1989 27 6' 01" 213 Alabama TB 12 01 007 5
98
Barwin, Connor OLB 10/15/1986 30 6' 04" 254 Cincinnati HOU 09 02 046 8
90
Brockers, Michael DT 12/21/1990 26 6' 05" 322 LSU SL 12 01 014 5
68
Brown, Jamon OG 03/15/1993 24 6' 04" 323 Louisville SL 15 03 072 2
39
Brown, Malcolm RB 05/15/1993 23 5' 11" 224 Texas SL FA 15 CFA 1
41
Christian, Marqui SS 10/27/1994 22 5' 11" 194 Midwestern State ARZ 16 05 167 R
0
Collins , Jared CB 05/10/1994 23 5' 11" 173 Arkansas LAR FA 17 CFA R
10
Cooper, Pharoh WR 03/07/1995 22 5' 11" 203 South Carolina LAR 16 04 117 R
24
Countess, Blake CB 08/08/1993 23 5' 09" 187 Auburn PHI 16 06 196 R
38
Davis, Cody SS 06/06/1989 27 6' 01" 204 Texas Tech SL FA 13 CFA 4
0
Davis , Kevin IB 11/21/1993 23 6' 02" 235 Colorado State LAR FA 17 CFA R
99
Donald, Aaron DT 05/23/1991 25 6' 01" 285 Pittsburgh SL 14 01 013 3
64
Donnal, Andrew OT 03/03/1992 25 6' 06" 313 Iowa SL 15 04 119 2
25
Dunbar, Lance RB 01/25/1990 27 5' 08" 191 North Texas DAL FA 12 CFA 5
91
Easley, Dominique DT 02/24/1992 25 6' 02" 288 Florida NE 14 01 029 2
50
Ebukam, Samson OB 05/09/1995 22 6' 02" 233 Eastern Washington LAR 17 04 125 R
0
Eldrenkamp , Jake OG 6' 05" 284 Washington LAR FA 17 CFA R
83
Everett, Gerald TE 06/25/1994 22 6' 03" 239 South Alabama LAR 17 02 044 R
59
Forrest, Josh IB 02/24/1992 25 6' 03" 249 Kentucky LAR 16 06 190 R
70
Fox, Morgan DE 09/12/1994 22 6' 03" 245 Colorado State-Pueblo LAR FA 16 CFA R
33
Gaines, EJ CB 02/23/1992 25 5' 10" 190 Missouri SL 14 06 188 3
16
Goff, Jared QB 10/14/1994 22 6' 04" 215 California LAR 16 01 001 R
36
Green, Aaron RB 10/15/1992 24 5' 11" 203 TCU LAR FA 16 CFA R
55
Grigsby, Nicholas OB 07/02/1992 24 6' 00" 218 Pittsburgh LAR FA 16 CFA R
30
Gurley, Todd RB 08/03/1994 22 6' 01" 222 Georgia SL 15 01 010 2
54
Hager, Bryce IB 05/04/1992 25 6' 01" 234 Baylor SL 15 07 224 2
46
Harkey, Cory FB/TE 06/17/1990 26 6' 04" 260 UCLA SL FA 12 CFA 5
79
Havenstein, Rob OT 05/13/1992 24 6' 07" 321 Wisconsin SL 15 02 057 2
6
Hekker, Johnny P 02/08/1990 27 6' 05" 227 Oregon State SL FA 12 CFA 5
84
Hemingway, Temarrick TE 07/30/1993 23 6' 05" 229 South Carolina State LAR 16 06 177 R
89
Higbee, Tyler TE 01/01/1993 24 6' 06" 249 Western Kentucky LAR 16 04 110 R
32
Hill, Troy CB 08/29/1991 25 5' 10" 182 Oregon CIN FA 15 CFA 1
27
Johnson, Isaiah SS 05/16/1992 24 6' 01" 213 Georgia Tech DET FA 15 CFA 2
43
Johnson, John FS 12/19/1994 22 6' 00" 208 Boston College LAR 17 03 091 R
22
Johnson, Trumaine CB 01/01/1990 27 6' 02" 204 Montana SL 12 03 065 5
35
Jordan, Michael CB 10/21/1992 24 6' 01" 200 Missouri Western LAR FA 16 CFA R
20
Joyner, Lamarcus SS 11/27/1990 26 5' 08" 184 Florida State SL 14 02 041 3
0
Kozan , Alex OG 11/17/1993 23 6' 03" 296 Auburn LAR FA 17 CFA R
18
Kupp, Cooper WR 06/15/1993 23 6' 01" 198 Eastern Washington LAR 17 03 069 R
45
Laskey, Zach RB 07/08/1992 24 6' 01" 218 Georgia Tech SL FA 15 CFA 1
58
Littleton, Cory OB 11/18/1993 23 6' 03" 226 Washington LAR FA 16 CFA R
96
Longacre, Matt DE 09/21/1991 25 6' 03" 261 Northwest Missouri State SL FA 15 CFA 2
14
Mannion, Sean QB 04/25/1992 25 6' 06" 229 Oregon State SL 15 03 089 2
15
Marquez, Bradley WR 12/14/1992 24 5' 11" 204 Texas Tech SL FA 15 CFA 2
57
McKinzy, Cassanova OB 11/17/1992 24 6' 01" 264 Auburn TB FA 16 CFA R
44
McQuaide, Jake LS 12/07/1987 29 6' 02" 247 Ohio State SL FA 11 CFA 6
8
McRoberts, Paul WR 11/15/1992 24 6' 02" 202 SE Missouri State LAR FA 16 CFA R
0
Miller , Kwayde OT 12/11/1993 23 6' 07" 295 San Diego State LAR FA 17 CFA R
0
Mundt, Johnny TE 6' 04" 231 Oregon LAR FA 17 CFA R
72
Murphy, Pace OT 03/02/1994 23 6' 06" 296 Northwestern St. - LA LAR FA 16 CFA R
12
Murray, Aaron QB 11/10/1990 26 6' 00" 207 Georgia KC 14 05 163 3
3
North, Marquez WR 04/21/1995 22 6' 02" 223 Tennessee LAR FA 16 CFA R
56
Northrup, Reggie IB 10/17/1993 23 6' 01" 224 Florida State WAS FA 16 CFA R
52
Ogletree, Alec ILB 09/25/1991 25 6' 02" 242 Georgia SL 13 01 030 4
0
Orimolade , Folarin OB 11/23/1995 21 5' 11" 240 Dartmouth LAR FA 17 CFA R
47
Peterson, Kevin CB 03/22/1994 23 5' 10" 181 Oklahoma State CHI FA 16 CFA R
51
Price, Ejuan OB 01/30/1993 24 5' 11" 241 Pittsburgh LAR 17 07 234 R
0
Purcell, Mike DE 04/20/1991 26 6' 03" 303 Wyoming SF FA 13 CFA 3
94
Quinn, Robert DE 05/18/1990 26 6' 04" 265 North Carolina SL 11 01 014 6
43
Randolph, Brian FS 10/20/1992 24 6' 00" 205 Tennessee LAR FA 16 CFA R
9
Reynolds, Josh WR 02/16/1995 22 6' 03" 194 Texas A&M LAR 17 04 117 R
65
Rhaney, Demetrius OC 06/22/1992 24 6' 02" 300 Tennessee St SL 14 07 250 3
23
Robey-Coleman, Nickell CB 01/17/1992 25 5' 07" 169 USC BUF FA 13 CFA 4
73
Robinson, Greg OT 10/21/1992 24 6' 05" 332 Auburn SL 14 01 002 3
39
Rogers, Sam FB 04/12/1995 22 5' 10" 231 Virginia Tech LAR 17 06 206 R
76
Saffold, Rodger OT 06/06/1988 28 6' 05" 318 Indiana SL 10 02 033 7
0
Sayles , Casey DT 09/04/1995 21 6' 04" 286 Ohio LAR FA 17 CFA R
82
Shippen, Brandon WR 05/17/1994 22 5' 11" 189 Temple MIA FA 16 CFA R
92
Smart, Tanzel DT 11/06/1994 22 6' 01" 296 Tulane LAR 17 06 189 R
86
Spruce, Nelson WR 12/05/1992 24 6' 01" 206 Colorado LAR FA 16 CFA R
61
Sullivan, John OC 08/08/1985 31 6' 03" 301 Notre Dame MIN 08 06 187 9
13
Thomas, Mike WR 08/16/1994 22 6' 01" 200 Southern Mississippi LAR 16 06 206 R
53
Thompson, Carlos LB 02/16/1992 25 6' 05" 243 Mississippi HOU FA 15 CFA 2
62
Trinca-Pasat, Louis DT 09/07/1991 25 6' 01" 290 Iowa SL FA 15 CFA 1
95
Walker, Tyrunn NT 03/18/1990 27 6' 03" 294 Tulsa NO FA 12 CFA 5
21
Webster, Kayvon CB 02/01/1991 26 5' 10" 195 South Florida DEN 13 03 090 4
93
Westbrooks, Ethan DE 11/15/1990 26 6' 03" 267 West Texas A&M SL FA 14 CFA 3
77
Whitworth, Andrew OT 12/12/1981 35 6' 07" 335 LSU CIN 06 02 055 11
69
Wichmann, Cody OG 03/02/1992 25 6' 05" 324 Fresno State SL 15 06 215 2
63
Williams, Darrell OT 08/03/1993 23 6' 05" 296 South Florida SL FA 15 CFA 2
87
Wilson, Travis TE 12/14/1993 23 6' 07" 217 Utah LAR FA 17 SFA 0
17
Woods, Robert WR 04/10/1992 25 6' 00" 201 USC BUF 13 02 041 4
0
Wright , Dravious SS 5' 09" 204 North Carolina State LAR FA 17 CFA R
4
Zuerlein, Greg PK 12/27/1987 29 6' 00" 187 Missouri Western SL 12 06 171 5
http://theramswire.usatoday.com/2017/05/04/los-angeles-rams-undrafted-free-agents-offseason-roster/
Add up the 4 players the list was missing: Lenard Tillery, Matt Davis, De'Mard Llorens, and Shakier Ryan.