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Interactive Utility

Llama 3.1 (405B) VRAM Calculator

Stop guessing your hardware needs for Llama 3.1 (405B). Calculate the exact VRAM required for inference based on parameter count, quantization, and KV cache, and see which machines can actually run it.

Model

Custom: billion

The community default. Best size-to-quality ratio.

4k32k128k

Memory to run it

255.0GB
Weights (Q4_K_M)
245.5 GB
KV cache (8k)
8.0 GB
Runtime overhead
1.5 GB
System RAM to load
248 GB
Model file on disk
257.8 GB

Hardware match

Multi-GPU node or Mac Studio (192–512GB)

A dedicated server. Below this, a hosted API is usually cheaper.

Rough decode speed

~7 tok/s

Ballpark on H100 / multi-GPU, bounded by memory bandwidth. Real numbers land 30–50% either side depending on framework, prompt length and thermals.

Llama 3.1 (405B) memory requirements by quantisation

Estimated at an 8k-token context. Llama 3.1 (405B) is 405B parameters; the arithmetic and its assumptions are set out below.

QuantisationWeightsTotal VRAMRuns on
FP16 (unquantised)810.0 GB819.5 GBMulti-GPU node or Mac Studio (192–512GB)
Q8_0 (8-bit)430.3 GB439.8 GBMulti-GPU node or Mac Studio (192–512GB)
Q6_K (6-bit)334.1 GB343.6 GBMulti-GPU node or Mac Studio (192–512GB)
Q5_K_M (5-bit)288.6 GB298.1 GBMulti-GPU node or Mac Studio (192–512GB)
Q4_K_M (4-bit)245.5 GB255.0 GBMulti-GPU node or Mac Studio (192–512GB)
Q3_K_M (3-bit)197.4 GB206.9 GBMulti-GPU node or Mac Studio (192–512GB)

Arithmetic over stated assumptions, not a benchmark. Weights are parameter count times bits-per-weight; the KV cache term assumes grouped-query attention; 1.5GB is reserved for runtime overhead.

Size a related model

Embed this Llama 3.1 (405B) Calculator

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<iframe src="https://fathomlayer.com/embed/hardware-calculator?p=405" width="100%" height="600" frameborder="0" style="border-radius: 12px; border: 1px solid rgba(255,255,255,0.1);"></iframe>

How this math works

Running Large Language Models locally is entirely bottlenecked by memory. Raw compute (TFLOPS) dictates your generation speed, but VRAM capacity dictates if the model will load at all.

  • Model Weights: At FP16 (unquantized), every 1 Billion parameters requires ~2GB of VRAM. At Q4 (4-bit quantization), that drops to ~0.7GB per 1B parameters.
  • KV Cache (Context Window): As you feed text into the model, it stores attention states in memory. A 32k context window on a 70B model requires several extra Gigabytes of RAM independent of the model weights.
  • Overhead: CUDA and operating systems reserve memory (usually 1-2GB), meaning a 24GB RTX 4090 cannot realistically load a 23.5GB model.