The Yuan Dynasty went north to Yinshan Mountain, south to the South China Sea Islands, northeast to Sakhalin Island and northwest to Xinjiang and Central Asia. Today, Xinjiang, Tibet, Yunnan, Northeast China, some islands in Taiwan Province Province and the South China Sea islands are all within the jurisdiction of the Yuan Dynasty. The area is 265,438,000 +0.2274 million square kilometers.
The territory of the Qing Dynasty stretches from the sea in the east, to Qingshan in the west, to Zengmu shoal in the south, to Xing 'an Mountains in the north, to Balkhash Lake in the northwest and to Sakhalin Island in the northeast, with a total area of about13 million square kilometers.
(If we only look at the territorial area, the Yuan Dynasty is definitely the largest, but if we exclude all the Khan countries except the Yuan Dynasty, considering the actual control scope of the central government, the actual territorial area of the Yuan Dynasty is far less than that of the Qing Dynasty. Moreover, the four great khanates nominally surrendered to the Yuan Dynasty, but in fact they were independent kingdoms. All the territories in the Qing Dynasty could be completely controlled, which was the peak of real centralization. )
Therefore, I personally think that the territory that the Qing Dynasty can control is the largest.