Preheat your oven to 350°F (175°C) and lightly grease a baking dish to prevent sticking.
In a large bowl, combine sliced peaches, sugar, and lemon juice. Gently toss everything together until the peaches are evenly coated and set aside to allow the juices to develop.
In another bowl, mix oats, flour, brown sugar, cinnamon, and salt. Stir to combine and create a uniform crumb mixture.
Add the cold, cubed butter to the dry mixture. Using your fingers or a pastry cutter, work the butter into the mixture until it resembles coarse crumbs with some larger pea-sized pieces.
Pour the peach mixture into the prepared baking dish, spreading it out evenly with a spatula or spoon.
Sprinkle the crumble topping evenly over the peaches, covering the surface completely.
Bake in the preheated oven for about 35 minutes, or until the topping is golden brown and bubbling around the edges.
Remove from the oven and let it cool for a few minutes to thicken slightly. Serve warm, ideally with a scoop of vanilla ice cream or whipped cream for extra indulgence.
