generally speaking, limits are tied to individual accounts rather than shared across profiles, so in theory you'd be looking at something like sixty per account multiplied by three - roughly one hundred and eighty in total.
That said, Instagram never publishes fixed DM limits publicly. the real cap depends on factors like account age, trust signals, activity patterns, reply rates, and whether the outreach looks automated. even if each account stays under a rough daily threshold, sending too many similar messages too quickly across multiple profiles can still trigger restrictions or checkpoints.
The safer approach is to warm accounts gradually, space messages naturally, and prioritise genuine conversations over hitting daily numbers. I've found that tracking reply rates and behaviour patterns before scaling outreach really helps avoid burning through accounts too quickly