Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
suyuti:651-125bSaʿīd b. Abū Saʿīd
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السيوطي:٦٥١-١٢٥b

"عَنْ سَعِيدِ بْنِ أَبِي سَعِيدٍ: أنَّهُ سَمِعَ أَبَا هُرَيْرَةَ وَهُوَ إِمَامُ النَّاسِ فيِ الصَّلاةِ يَقُولُ: سَمِعَ الله لِمَنْ حَمِدَهُ، اللَّهُمَ رَبَّنَا لَكَ الْحَمْدُ".  

[هب] البيهقى في شعب الإيمان [عب] عبد الرازق

See similar narrations below:

Collected by Ibn Mājah
ibnmajah:877Abū Bakr b. Abū Shaybah > Yaḥyá b. Abū Bukayr > Zuhayr b. Muḥammad > ʿAbdullāh b. Muḥammad b. ʿAqīl > Saʿīd b. al-Musayyab > Abū Saʿīd al-Khudrī

“When the Imam says: ‘Sami’ Allahu liman hamidah (Allah hears those who praise Him),’ say: ‘Allahumma, Rabbana wa lakal-hamd (O Allah! O our Lord! To You is the praise).’”  

ابن ماجة:٨٧٧حَدَّثَنَا أَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ حَدَّثَنَا يَحْيَى بْنُ أَبِي بُكَيْرٍ حَدَّثَنَا زُهَيْرُ بْنُ مُحَمَّدٍ عَنْ عَبْدِ اللَّهِ بْنِ مُحَمَّدِ بْنِ عَقِيلٍ عَنْ سَعِيدِ بْنِ الْمُسَيَّبِ عَنْ أَبِي سَعِيدٍ الْخُدْرِيِّ

أَنَّهُ سَمِعَ رَسُولَ اللَّهِ ﷺ يَقُولُ إِذَا قَالَ الإِمَامُ سَمِعَ اللَّهُ لِمَنْ حَمِدَهُ فَقُولُوا اللَّهُمَّ رَبَّنَا وَلَكَ الْحَمْدُ