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LM46002: Powering three different simple switcher model numbers from the same source, do I really need nine input-side bulk caps?

Part Number: LM46002

Greetings,

  For a single board with 3.3V, 5V, & 15V supplies, I downloaded recommended Webench designs. Each of the three switchers is a different part number, & each includes three input-side bulk capacitors of various values. So my power supply would have nine of them.

  Do I really need all those caps?

  Since they're all in parallel, are the recommended  values affected?

  Thanks,