Accordint to Lenton & Colledge in "Warships of World War II" - Royal Navy LCP(L) were numbered 1-400, 501-600 & 701-800 so a total of 600. 66 were lost in 1944 and 4 in 1945. Some were converted to LCN - Landing Craft, Navigation and some to LCP(Sy) - Landing Craft, Survey
The large number lost in 1944 suggests that some may have been used at Normandy probably in the build up as ferry craft but I doubt they landed troops in the assault.
Appendix B to AHQ report No 54 lists the landing craft of Force J which includes "36 LCP(L) Smoke" but no other LCP(L)
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