F and J is really about the temperature range:
J= -40 °C to +105 °C; F = -40 °C to +85 °C.
Now the information on the NXP website is correct.
LPC4357JET256:
LPC4357JET256|ARM Cortex-M4/M0|32-bit MCU|NXP
LPC4357FET256:
LPC4357FET256|ARM Cortex-M4/M0|32-bit MCU|NXP
Wish it helps you!
Have a great day,
Jingjing
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