I found something interesting in the South Carolina numbers. It turns out that 457 and 079 have been dancing together for pretty much the whole history of the South Carolina lottery. This stuff is much easier to show than tell, so here is the chart.
02/17/2021,797,457 | 08/13/2020,457,968 | 08/03/2010,988,457 | 03/31/2007,457,294 | 01/10/2019,419,117
02/18/2021,021,491 | 08/14/2020,272,283 | 08/04/2010,422,090 | 04/01/2007,XXX,984 | 01/11/2019,861,133
02/19/2021,869,563 | 08/15/2020,134,916 | 08/05/2010,024,394 | 04/02/2007,276,012 | 01/12/2019,832,146
02/20/2021,321,125 | 08/16/2020,XXX,438 | 08/06/2010,937,531 | 04/03/2007,285,303 | 01/13/2019,XXX,773
02/21/2021,XXX,764 | 08/17/2020,996,988 | 08/07/2010,543,245 | 04/04/2007,828,049 | 01/14/2019,142,898
02/22/2021,728,530 | 08/18/2020,893,697 | 08/08/2010,XXX,439 | 04/05/2007,065,250 | 01/15/2019,692,896
02/23/2021,798,150 | 08/19/2020,684,149 | 08/09/2010,036,959 | 04/06/2007,337,045 | 01/16/2019,012,434
02/24/2021,615,556 | 08/20/2020,626,119 | 08/10/2010,889,668 | 04/07/2007,254,285 | 01/17/2019,349,615
02/25/2021,296,223 | 08/21/2020,012,841 | 08/11/2010,721,166 | 04/08/2007,XXX,586 | 01/18/2019,913,145
02/26/2021,455,830 | 08/22/2020,066,380 | 08/12/2010,751,763 | 04/09/2007,473,775 | 01/19/2019,169,380
02/27/2021,416,504 | 08/23/2020,XXX,644 | 08/13/2010,589,837 | 04/10/2007,640,814 | 01/20/2019,XXX,189
02/28/2021,XXX,918 | 08/24/2020,941,913 | 08/14/2010,951,253 | 04/11/2007,296,348 | 01/21/2019,071,189
03/01/2021,994,761 | 08/25/2020,656,968 | 08/15/2010,XXX,583 | 04/12/2007,469,039 | 01/22/2019,226,784
03/02/2021,567,304 | 08/26/2020,087,291 | 08/16/2010,278,200 | 04/13/2007,734,923 | 01/23/2019,813,380
03/03/2021,657,007 | 08/27/2020,267,442 | 08/17/2010,264,020 | 04/14/2007,282,989 | 01/24/2019,169,633
03/04/2021,742,107 | 08/28/2020,610,556 | 08/18/2010,760,519 | 04/15/2007,XXX,972 | 01/25/2019,929,031
03/05/2021,867,195 | 08/29/2020,082,918 | 08/19/2010,764,453 | 04/16/2007,763,143 | 01/26/2019,678,016
03/06/2021,208,770 | 08/30/2020,XXX,416 | 08/20/2010,098,271 | 04/17/2007,025,964 | 01/27/2019,XXX,490
03/07/2021,XXX,312 | 08/31/2020,061,890 | 08/21/2010,548,008 | 04/18/2007,440,399 | 01/28/2019,363,204
03/08/2021,631,492 | 09/01/2020,074,449 | 08/22/2010,XXX,519 | 04/19/2007,576,715 | 01/29/2019,197,701
03/09/2021,095,798 | 09/02/2020,957,512 | 08/23/2010,160,526 | 04/20/2007,014,261 | 01/30/2019,665,157
03/10/2021,239,123 | 09/03/2020,085,419 | 08/24/2010,710,950 | 04/21/2007,131,934 | 01/31/2019,917,153
03/11/2021,754,709 | 09/04/2020,584,887 | 08/25/2010,757,474 | 04/22/2007,XXX,476 | 02/01/2019,136,884
03/12/2021,935,776 | 09/05/2020,104,709 | 08/26/2010,747,494 | 04/23/2007,207,334 | 02/02/2019,692,902
03/13/2021,791,999 | 09/06/2020,XXX,103 | 08/27/2010,196,946 | 04/24/2007,109,582 | 02/03/2019,XXX,793
03/14/2021,XXX,731 | 09/07/2020,650,708 | 08/28/2010,947,643 | 04/25/2007,209,854 | 02/04/2019,023,431
03/15/2021,524,264 | 09/08/2020,141,883 | 08/29/2010,XXX,853 | 04/26/2007,907,756 | 02/05/2019,361,919
03/16/2021,739,419 | 09/09/2020,419,661 | 08/30/2010,331,168 | 04/27/2007,723,790 | 02/06/2019,746,179
03/17/2021,035,707 | 09/10/2020,163,509 | 08/31/2010,198,131 | 04/28/2007,844,033 | 02/07/2019,004,511
03/18/2021,629,286 | 09/11/2020,640,584 | 09/01/2010,077,590 | 04/29/2007,XXX,927 | 02/08/2019,262,230
03/19/2021,546,229 | 09/12/2020,141,596 | 09/02/2010,036,139 | 04/30/2007,434,207 | 02/09/2019,138,306
03/20/2021,102,813 | 09/13/2020,XXX,406 | 09/03/2010,531,251 | 05/01/2007,539,391 | 02/10/2019,XXX,945
03/21/2021,???,??? | 09/14/2020,079,399 | 09/04/2010,079,802 | 05/02/2007,079,405 | 02/11/2019,433,079
03/22/2021,???,??? | 09/15/2020,947,285 | 09/05/2010,XXX,668 | 05/03/2007,363,932 | 02/12/2019,078,084
03/23/2021,???,??? | 09/16/2020,976,853 | 09/06/2010,612,498 | 05/04/2007,289,781 | 02/13/2019,559,980
03/24/2021,???,??? | 09/17/2020,354,167 | 09/07/2010,413,364 | 05/05/2007,047,247 | 02/14/2019,267,931
03/25/2021,???,??? | 09/18/2020,486,241 | 09/08/2010,698,970 | 05/06/2007,XXX,092 | 02/15/2019,837,237
03/26/2021,???,??? | 09/19/2020,231,783 | 09/09/2010,289,277 | 05/07/2007,264,247 | 02/16/2019,915,978
03/27/2021,???,??? | 09/20/2020,XXX,144 | 09/10/2010,374,695 | 05/08/2007,318,911 | 02/17/2019,XXX,397
03/28/2021,???,??? | 09/21/2020,856,169 | 09/11/2010,611,968 | 05/09/2007,407,490 | 02/18/2019,962,659
03/29/2021,???,??? | 09/22/2020,854,835 | 09/12/2010,XXX,699 | 05/10/2007,370,887 | 02/19/2019,457,723
03/30/2021,???,??? | 09/23/2020,428,654 | 09/13/2010,243,601 | 05/11/2007,424,197
03/31/2021,???,??? | 09/24/2020,248,933 | 09/14/2010,209,907 | 05/12/2007,457,865
It's interesting that there are a couple secondary synchronizations, 615 and 419 mixed in there. I like that, too.