IntrinsicSize.Min and Max

@Composable
fun SameWidthBoxes() {
    // Builds a layout containing three Box having the same width as the widest one.
    //
    // Here preferredWidth min intrinsic is adding a width premeasurement pass for the
    // Column, whose minimum intrinsic width will correspond to the preferred width of the largest
    // Box. Then preferredWidth min intrinsic will measure the Column with tight width, the
    // same as the premeasured minimum intrinsic width, which due to fillMaxWidth will force
    // the Box's to use the same width.
    Stack {
        Column(Modifier.preferredWidth(IntrinsicSize.Min).fillMaxHeight()) {
            Box(
                modifier = Modifier.fillMaxWidth().preferredSize(20.dp, 10.dp),
                backgroundColor = Color.Gray
            )
            Box(
                modifier = Modifier.fillMaxWidth().preferredSize(30.dp, 10.dp),
                backgroundColor = Color.Blue
            )
            Box(
                modifier = Modifier.fillMaxWidth().preferredSize(10.dp, 10.dp),
                backgroundColor = Color.Magenta
            )
        }
    }
}

Min

Max

@Composable
fun SameWidthTextBoxes() {
    // Builds a layout containing three Text boxes having the same width as the widest one.
    //
    // Here preferredWidth max intrinsic is adding a width premeasurement pass for the Column,
    // whose maximum intrinsic width will correspond to the preferred width of the largest
    // Box. Then preferredWidth max intrinsic will measure the Column with tight width, the
    // same as the premeasured maximum intrinsic width, which due to fillMaxWidth modifiers will
    // force the Boxs to use the same width.
    Stack {
        Column(Modifier.preferredWidth(IntrinsicSize.Max).fillMaxHeight()) {
            Box(Modifier.fillMaxWidth(), backgroundColor = Color.Gray) {
                Text("Short text")
            }
            Box(Modifier.fillMaxWidth(), backgroundColor = Color.Blue) {
                Text("Extremely long text giving the width of its siblings")
            }
            Box(Modifier.fillMaxWidth(), backgroundColor = Color.Magenta) {
                Text("Medium length text")
            }
        }
    }
}

SameWidthBoxes

IntrinsicSize.Min

minimum intrinsic width will correspond to the preferred width of the largest Box

SameWidthTextBoxes

min will correspond to putting one word per line

longest word

one line

one or more