To get Ice beam, goto the exit of Mt. Coronet, the one that leads to a Snowy route, then use rock climb on the cliff[ The cliff on the route with the bridges and stuff, can't be bothered to find the number.] After you use rock climb, there will be some trainers, continue to the right to find ice beam.
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TM13 is Ice Beam, you can find it on Route 216.
AnswerTM13 - Ice Beam can be found on Route 216 (after defeating the Snowpoint City Gym which allows you to use Rock Climb). Ice Beam can also be bought from the Game Corner for 10,000 coins.
There is no kind of TM in Pokemon Crystal version that can teach your Pokemon ice beam. The only way to get it is to learn it naturally.
You get the TM Ice Beam in the Great Chasm.
Lapras will learn Ice Beam at level 31.