become vs come up

become and come up both are verbs.

Word	Noun	Adjective	Verb	Adverb
become	No	No	Yes	No
come up	No	No	Yes	No

As verbs, come up is a hyponym of become; that is, come up is a word with a more specific, narrower meaning than become:

become (verb)	come up (verb)
enter or assume a certain state or condition	result or issue
come into existence	start running, functioning, or operating
undergo a change or development	gather or bring together
enhance the appearance of	gather (money or other resources) together over time
	bring forth, usually something desirable
	come up, of celestial bodies
	come to the surface
	move toward, travel toward something or somebody or approach something or somebody
	move upward
	get something or somebody for a specific purpose
	originate or come into being
	be mentioned