Llama 3.3 70B at FP8 (E4M3) needs 70.6 GB for its weights and 92.1 GB in total at 8K context with 8 concurrent users. That means it fits on a single TPU v5p (per-chip, 95GB). Every figure is computed by tokcalc's open-source capacity model.
| GPUs | Total VRAM | VRAM needed | Decode tok/s | Aggregate tok/s | TTFT | Cost / 1M tok | Fits? |
|---|---|---|---|---|---|---|---|
| 1× TPU | 95 GB | 92.1 GB | 11.31 | 135.7 | 5.16 s | $8.60 | ✓ |
| 2× TPU | 190 GB | 92.1 GB | 19.23 | 461.5 | 2.60 s | $5.06 | ✓ |
| 4× TPU | 380 GB | 92.1 GB | 38.46 | 1846 | 1.32 s | $2.53 | ✓ |
| 8× TPU | 760 GB | 92.1 GB | 76.91 | 7384 | 673.0 ms | $1.26 | ✓ |
| Context | Concurrent users | KV per request | Fits? |
|---|---|---|---|
| 4K | 18 | 1.34 GB | ✓ fits |
| 8K | 9 | 2.68 GB | ✓ fits |
| 33K | 2 | 10.74 GB | ✓ fits |
| 66K | 1 | 21.47 GB | ✓ fits |
| 131K | 0 | 42.95 GB | ✗ does not fit |
| GPU | GPUs | Aggregate tok/s | Cost / 1M tok |
|---|---|---|---|
| RTX 5090 32GB | 4× | 4039 | $0.1376 |
| A100 80GB SXM4 | 2× | 1127 | $0.5916 |
| H100 SXM5 80GB | 2× | 1888 | $0.7358 |
| AMD MI300X 192GB | 1× | 878.3 | $0.7906 |
| L40S 48GB | 2× | 486.8 | $0.7988 |
| AMD MI325X 288GB | 1× | 994.3 | $0.9778 |
Yes. Llama 3.3 70B at FP8 (E4M3) needs 92.1 GB including the KV cache, and TPU v5p (per-chip, 95GB) has 95 GB — so it fits on a single GPU.
11.31 tokens/sec per stream and 135.7 tok/s aggregate with continuous batching at 8 concurrent users. Time to first token is 5.16 s, and inter-token latency is 88.4 ms.
$8.60 per 1M output tokens at 1× TPU v5p (per-chip, 95GB) ($4.20/hr). That is the marginal hardware cost — add idle capacity, ops, and egress for the real figure.
70.6 GB for the weights at FP8 (E4M3), plus 21.5 GB of KV cache for 8 concurrent requests at 8K context — 92.1 GB total. Every extra concurrent user at long context costs more, so leave headroom.
It works. Compare $8.60 per 1M tokens against the alternatives below — the cheapest option that fits the same workload is 8× RTX 4080 16GB at $0.1031, and the fastest is 4× Cerebras CS-3 (WSE-3) at 45076 tok/s.
Same formulas, your context length, concurrency, and quantisation.