Can It Run?
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Can an M3 Ultra 256GB Mac run Llama 3.1 405B?

M3 Ultra · 256 GB unified memory · 819 GB/s · Mac Studio (M3 Ultra)

No — not at Q4_K_M.

Llama 3.1 405B needs about 247.3 GiB but an M3 Ultra 256GB Mac has only ~240.0 GiB available for a model — you are 7.3 GiB short. macOS will swap to SSD and generation will crawl. There is a smaller quantisation that fits: see below.

Weights
231.0 GiB
405B params @ Q4_K_M
KV cache
3.9 GiB
8K context, FP16
Overhead
12.4 GiB
runtime + activations
Total needed
247.3 GiB
of ~240.0 GiB usable
Est. speed
3 tok/s
819 GB/s bandwidth
Max context
n/a
at Q4_K_M

Where the memory goes

Three things occupy memory when a model is loaded: the weights themselves, the KV cache that holds the conversation, and the runtime's own working buffers. Only the first is fixed — the KV cache grows with every token in your context.

QuantisationWeightsTotalTok/sFits?
FP16754.4 GiB796.8 GiB1No
Q8_0400.8 GiB425.5 GiB2No
Q6_K311.2 GiB331.5 GiB2No
Q5_K_M268.7 GiB286.9 GiB2No
Q4_K_M231.0 GiB247.3 GiB3No
Q3_K_M183.9 GiB197.8 GiB3Yes, comfortably
Q2_K141.4 GiB153.3 GiB4Yes, comfortably

The default. Best quality-per-gigabyte for most people.

How long a context fits

The KV cache is often what breaks a setup that looked fine at load time. Quantising it to 8-bit roughly halves its footprint with little measurable quality cost.

ContextKV cacheTotalFP16 KVQ8 KV
2K1.0 GiB244.1 GiBNoNo
4K2.0 GiB245.2 GiBNoNo
8K3.9 GiB247.3 GiBNoNo
16K7.9 GiB251.6 GiBNoNo
32K15.8 GiB260.0 GiBNoNo
128K63.0 GiB310.9 GiBNoNo

What to run instead on an M3 Ultra 256GB Mac

These are the largest models that fit comfortably on this machine at Q4_K_M with an 8K context.

ModelSizeTotalTok/s
DeepSeek V4 Flash Vision Exp304.65B183.9 GiB4Yes, comfortably
DeepSeek V4 Flash 0731304.18B183.7 GiB4Yes, comfortably
DeepSeek V4 Flash290.94B175.7 GiB4Yes, comfortably
gpt-oss-120b116.8B71.3 GiB131Yes, comfortably
Qwen2.5 72B72.7B46.8 GiB15Yes, comfortably
DeepSeek-R1-Distill-Llama-70B70.6B45.6 GiB15Yes, comfortably

Macs that run Llama 3.1 405B comfortably

The smallest configuration that handles it is the M3 Ultra 512GB (Mac Studio (M3 Ultra)).

MacMemoryBandwidthTok/s
M3 Ultra 512GB512 GB819 GB/s3

Common questions

Can an M3 Ultra 256GB Mac run Llama 3.1 405B?
No. At Q4_K_M it needs about 247.3 GiB, and an M3 Ultra 256GB Mac has roughly 240.0 GiB available for a model after macOS takes its share.
How fast is Llama 3.1 405B on an Mac?
Around 3 tokens per second. Token generation on Apple Silicon is limited by memory bandwidth, and this machine has 819 GB/s.
How much memory does Llama 3.1 405B need?
231.0 GiB for the weights at Q4_K_M, plus 3.9 GiB for an 8K-token KV cache and about 12.4 GiB of runtime overhead — 247.3 GiB in total.