In LT3045 and LT3045-1 datasheets parallel devises section and DC2637A - Schematics the OUTS pins are connected with OUT pin caps, can I connect all OUTS pins together with the load cap at the load side?


LTSPICE simulation it works.

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LT3045
Recommended for New Designs
The LT3045 is a high performance low dropout linear regulator featuring LTC’s ultralow noise and ultrahigh PSRR architecture for powering noise sensitive...
Datasheet
LT3045 on Analog.com
LT3045-1
Recommended for New Designs
The LT3045-1 is a high performance low dropout linear regulator featuring LTC’s ultralow noise and ultrahigh PSRR architecture for powering noise sensitive...
Datasheet
LT3045-1 on Analog.com
LTspice
Production
LTspice® is a powerful, fast, and free SPICE simulator software, schematic capture and waveform viewer with enhancements and models for improving the simulation...
LTspice on Analog.com
LT3041
Recommended for New Designs
The LT3041 is a high-performance, low-dropout linear regulator
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LT3041 on Analog.com
In LT3045 and LT3045-1 datasheets parallel devises section and DC2637A - Schematics the OUTS pins are connected with OUT pin caps, can I connect all OUTS pins together with the load cap at the load side?


LTSPICE simulation it works.

This should work but advised not to. See snip below. It is used for optimal transient performance and load regulation so keep that in mind.

Regards,
Jhun