I assume you mean "#1 MkIII" & "#4" rifles as the "#3" is a totally different Mauser type rifle, & takes no magazine from any of the the Lee-Enfields.
Lee-Enfield magazines aren't "interchangeable" in the modern sense. However #4 & #5 magazines are the same magazine, but they do need fitting to the rifle individually. This is usually a question of adjusting the feed lips.
#1 (SMLE) magazines do not fit either #4, or #5 rifles & #4/#5 magazines do not fit #1 SMLE rifles.
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Allan Quatermain: “Automatic rifles. Who in God's name has automatic rifles”?
Elderly Hunter: “That's dashed unsporting. Probably Belgium.”
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