Llama 3.1 405B Instruct — VRAM Requirements, Quantization Matrix & GPU Guide

Llama 3.1 405B Instruct (Meta Llama, Llama 3.1 Community) is a Dense Transformer architecture with 405B resident parameters (405B active per token), 126 layers, and Grouped-Query Attention (GQA) supporting up to 131,072 context tokens.

Interactive Llama 3.1 405B Instruct Memory & Context Simulator

32,768 tokens

Memory Breakdown & Bandwidth Ceiling

Fits Comfortably
Model Weights: 91.7% KV: 6.3% Overhead: 2%
Total Required Memory
249.40 GB
Per-Device Allocation: 249.40 GB
Model Weights
228.67 GB
KV Cache (FP16): 15.75 GB
Est. Single-Stream Decode
1.8 tok/s
Runtime & TP Overhead: 4.98 GB
Max Context Before OOM
446,229
tokens

Architecture KV compression saves 93.8% vs naive MHA FP16 (252.00 GB).

macOS caps GPU wired memory around 384.0 GB (75%) by default; raising iogpu.wired_limit_mb unlocks up to 450.6 GB (88%).

sudo sysctl iogpu.wired_limit_mb=461373

Precision & Quantization VRAM Matrix (8K / 32K / 128K Context)

Total GPU memory required across weight precisions and context lengths (batch = 1, FP16 KV cache)
Precision / Format Effective bpw Weights Only Total @ 8K ctx Total @ 32K ctx Total @ 128K ctx Recommended Tier (@ 32K)
FP16 / BF16 16.00 bpw 754.37 GB 771.17 GB 782.99 GB 830.24 GB 8× NVIDIA H100 80GB
FP8 8.50 bpw 400.76 GB 412.26 GB 424.07 GB 471.32 GB 8× NVIDIA H100 80GB
Q8_0 8.50 bpw 400.76 GB 412.26 GB 424.07 GB 471.32 GB 8× NVIDIA H100 80GB
Q6_K 6.56 bpw 309.29 GB 319.42 GB 331.23 GB 378.48 GB Mac Studio 512GB
Q5_K_M 5.69 bpw 268.27 GB 277.78 GB 289.60 GB 336.85 GB Mac Studio 512GB
Q4_K_M 4.85 bpw 228.67 GB 237.59 GB 249.40 GB 296.65 GB Mac Studio 512GB
AWQ INT4 4.50 bpw 212.17 GB 220.84 GB 232.65 GB 279.90 GB Mac Studio 512GB
IQ4_XS 4.25 bpw 200.38 GB 208.87 GB 220.69 GB 267.94 GB Mac Studio 512GB

Hardware Compatibility & Decode Speed (Llama 3.1 405B Instruct @ Q4_K_M, 32K Context)

Fit status, memory utilization, and estimated decode throughput across flagship GPUs and Apple Silicon
Hardware Tier Memory & Bandwidth Required (32K) Fit Verdict Est. Decode Speed
RTX 3090 24GB 24 GB · 936 GB/s 253.17 GB (1055%) Out of Memory (OOM) —
RTX 4090 24GB 24 GB · 1008 GB/s 253.17 GB (1055%) Out of Memory (OOM) —
RTX 5090 32GB 32 GB · 1792 GB/s 253.17 GB (791%) Out of Memory (OOM) —
Apple M-Max 64GB 64 GB · 546 GB/s 249.40 GB (390%) Out of Memory (OOM) —
Mac Studio 128GB 128 GB · 546 GB/s 249.40 GB (195%) Out of Memory (OOM) —
Mac Studio 192GB 192 GB · 800 GB/s 249.40 GB (130%) Out of Memory (OOM) —
NVIDIA A100 80GB 80 GB · 2039 GB/s 253.17 GB (317%) Out of Memory (OOM) —
NVIDIA H100 80GB 80 GB · 3350 GB/s 253.17 GB (317%) Out of Memory (OOM) —

Verified Transformer Architecture Parameters

Checkpoint ID
meta-llama/Llama-3.1-405B-Instruct
Ollama Tag
llama3.1:405b
License / Release
Llama 3.1 Community · 2024-Q3
Topology & Attention
Dense Transformer
Attention Mechanism
Grouped-Query Attention (GQA)
Total Params (B)
405B
Active Params / Token (B)
405B
Hidden Layers / Hidden Size
126 / 16384
Query Heads / KV Heads
128Q / 8KV (d=128)
Vocab / Max Position
128,256 / 131,072

Quantized formats store per-block scale factors and zero-points alongside packed integer weights. A 4-bit GGUF Q4_K_M checkpoint averages 4.85 effective bits per parameter (not 4.00), while Q8_0 averages 8.50 bpw. For Mixture-of-Experts models, all routed and shared experts remain resident in memory to prevent token-by-token host paging.

Standard Grouped-Query Attention allocates 2 × L × H_kv × d_head × S × B × bytes_kv across layers. DeepSeek Multi-head Latent Attention (MLA) compresses keys and values into L × (d_kv_lora + d_qk_rope) × S × B × bytes_kv, slashing long-context memory by over 90%. Hybrid sliding-window models cap local-attention layers at min(S, window_size) while scaling global layers linearly with S.

Quick-Start vLLM & Ollama Commands for Llama 3.1 405B Instruct

vLLM CLI (Mac Studio 512GB)
vllm serve meta-llama/Llama-3.1-405B-Instruct \
  --tensor-parallel-size 1 \
  --max-model-len 32768 \
  --max-num-seqs 8 \
  --gpu-memory-utilization 0.80 \
  --kv-cache-dtype fp8 \
  --enable-prefix-caching \
  --port 8000
Ollama Modelfile
# Optional macOS unified-memory ceiling override before launching:
# sudo sysctl iogpu.wired_limit_mb=461373

# Save as Modelfile, then run: ollama create llama-3-1-405b-custom -f Modelfile
FROM llama3.1:405b
PARAMETER num_ctx 32768
PARAMETER num_batch 512
PARAMETER flash_attn true

# Environment variables for ollama serve:
# OLLAMA_NUM_PARALLEL=8 OLLAMA_FLASH_ATTENTION=1 OLLAMA_KV_CACHE_TYPE=q8_0 ollama serve

Compare Sibling & Similar-Scale Open-Weight Models