324
Fit the cubic equation: t(n) = (20n3 - 90n2 + 160n - 78)/3
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404
As you are dividing by 2 and then multiplying the result by 4, the 176 will be multiplied by 4 to give 704.
The next numbers in the sequence are... 16, then 88.
One possible position to value rule is Un = (20n3 - 90n2 + 160n - 75)/3 Accordingly, the next three numbers are U4 = 325 U5 = 655 U6 = 1165 Alternatively, give my any three numbers that you want as the next three and I will find you a polynomial of order 6 that will fit the 4 given number and the 3 that you specify.
The LCM is 308.