Find the common factors and multiply those just once, then multiply all other factors.
4 = 1 x 2 x 2
14 = 1 x 2 x 7
8 = 1 x 2 x 2 x 2
26 = 1 x 2 x 13
I bolded the factors that need to be multiplied to get the LCF.
1 x 2 x 2 x 7 x 2 x 13 = 728
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