Mount Gram was a mountain inhabited by Orcs.
Location
The location of Mount Gram has never been established and the mountain could have been anywhere within the northern Eriador region.
The Tale of Years mentions that in T.A. 2740 "Orcs renew their invasions of Eriador", obviously referring to those of the Misty Mountains, mentioned in the immediate previous entries. "The Goblins of Mount Gram" who invaded the Shire in 2747 obviously were a subsequent wave of them.
This must be the reason why Robert Foster considers Gram to have been one of the Misty Mountains, although he does not cite a specific source or reason to do so.
On the other hand, Karen Wynn Fonstad (also without explanation) placed it on a promontory in the Ettenmoors.
John D. Rateliff considers the Norse name of the mountain (representing Northern Mannish) and locates it north-eastern of the Shire, suggesting that it refers to the Misty Mountains: "particularly associated with the goblins throughout the Hobbit, also seem to be the mountains closest to Bilbo's home". He also considers the possibility that it is another name for Mount Gundabad.