that the Messenger of Allah ﷺ said: "Do you think that if there was a river by the gate of one of you, and he bathed in it five times each day that there would remain any filth on him?" They said: "No filth would stay on him." He said: "That is the parable of the five prayers, Allah wipes out the sins with them."  

أَنَّ رَسُولَ اللَّهِ ﷺ قَالَ أَرَأَيْتُمْ لَوْ أَنَّ نَهْرًا بِبَابِ أَحَدِكُمْ يَغْتَسِلُ مِنْهُ كُلَّ يَوْمٍ خَمْسَ مَرَّاتٍ هَلْ يَبْقَى مِنْ دَرَنِهِ شَيْءٌ قَالُوا لاَ يَبْقَى مِنْ دَرَنِهِ شَيْءٌ قَالَ فَذَلِكَ مَثَلُ الصَّلَوَاتِ الْخَمْسِ يَمْحُو اللَّهُ بِهِنَّ الْخَطَايَا وَفِي الْبَابِ عَنْ جَابِرٍ  

Another chain reports a similar narration.  

عَنِ ابْنِ الْهَادِ نَحْوَهُ