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In Wikipedia page, Christian Denomination, we see Mormonism as a Nontrinitarian Denomination. Explaining that:
Mormons see themselves as believing in a Godhead comprising the Father, Son, and Holy Ghost as separate personages united in purpose.
On a separate page, God in Mormonism, explains that The Father in the Godhead is the same Jewish God, Elohim that we know.
Basically, unlike the trinity, most Mormons believe that:
the Father, the Son, and the Holy Ghost are not said to be one in substance or essence; instead, they remain three separate beings, or personages, completely united in will and purpose as one God