We have used the Submillimeter Array at 860$,mu$m to observe the brightest SCUBA-2 sources in 4$,$deg$^{2}$ of the Cosmology Legacy Survey. We have targeted 75 of the brightest single-dish SCUBA-2 850$,mu$m sources down to $S_{850},{approx},8,$mJy, achieving an average synthesized beam of 2.4$^{primeprime}$ and an average rms of $sigma_{860},{=},1.5,$mJy in our primary beam-corrected maps. We searched our maps for $4sigma$ peaks, corresponding to $S_{860},{gtrsim},6,$mJy sources, and detected 59 single galaxies and three pairs of galaxies. We include in our study 28 archival observations, bringing our sample size to 103 bright single-dish submillimetre sources with interferometric follow-up. We compute the cumulative and differential number counts of our sample, finding them to overlap with previous single-dish survey number counts within the uncertainties, although our cumulative number count is systematically lower than the parent SCUBA-2 cumulative number count by $24,{pm},6$ per cent between 11 and 15$,$mJy. We estimate the probability that a ${gtrsim},10,$mJy single-dish submillimetre source resolves into two or more galaxies with similar flux densities, causing a significant change in the number counts, to be about 15 per cent. Assuming the remaining 85 per cent of the targets are ultra-luminous starburst galaxies between $z,{=},2$-3, we find a likely volume density of ${gtrsim},400,$M$_{odot},$yr$^{-1}$ sources to be ${sim},3^{+0.7}_{-0.6},{times},10^{-7},$Mpc$^{-3}$. We show that the descendants of these galaxies could be ${gtrsim},4,{times},10^{11},$M$_{odot}$ local quiescent galaxies, and that about 10 per cent of their total stellar mass would have formed during these short bursts of star-formation.
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