How would I find all values by specific key in a deep nested object?

For example, if I have an object like this:

const myObj = {

  id: 1,

  children: [

    {

      id: 2,

      children: [

        {

          id: 3

        }

      ]

    },

    {

      id: 4,

      children: [

        {

          id: 5,

          children: [

            {

              id: 6,

              children: [

                {

                  id: 7,

                }

              ]

            }

          ]

        }

      ]

    },

  ]

}

How would I get an array of all values throughout all nests of this obj by the key of id.

Note: children is a consistent name, and id's won't exist outside of a children object.

So from the obj, I would like to produce an array like this:

const idArray = [1, 2, 3, 4, 5, 6, 7]