This update sequence looks good. You can update 1.66.65 instead of 1.57.57 and add 2.10.10.10 before 2.40.40.40. From 2.10.10.10 onwards iDRAC and LC merged to single build. As you have latest BIOS you can skip all BIOS updates
Currently running an R720 want want to update the iDrac and Lifecycle Controller to the latest as I'm seeing SSL errors and currently have to access the interface on a very old browser. Is there a recommended upgrade path from the following versions? BIOS Version: 2.9.0Firmware Version: 1.40.40 (Build 17)Lifecycle Controller Firmware: 1.0.8.42 I found an upgrade path but that appears to also be an older BIOS while mine appears to be on the latest, just want to make sure I can follow the same/similar iDrac and w/ LCC updates following that. 

   BIOS 2.0.21 
  iDrac 1.57.57 

   BIOS 2.1.3 
  iDrac w/ Lifecycle Controller 2.21.21 (the updates merged after this point) 

   BIOS 2.4.2 
  iDrac w/ LCC 2.40.40 

   BIOS 2.5.1 
  iDrac w/ LCC 2.63.60.62 

   BIOS 2.6.0 
  iDrac w/ LCC 2.65.65.65 (latest) 

   BIOS 2.9.0 (latest) 
    Thanks in advance!
Dell R720 iDrac7 Upgrade Path