Why should you want to know the LC 50? Is there any relevance to carry out such a cruel test? Furthermore what fish, what metal in which form, alone or in combination with other metals (which is a practical situation)?
Having said all that: there are numerous possibilities to determine heavy metals in water and fish. Just search in Research Gate or more general on the internet. Money and necessary performance of the method will be determining factors in your choice.
LLC50 values determination and concentration of metals in fish are different experiments.
based on your research question it might be correlated.
there are different methods/techniques to know the concentration of metals in the samples: such as AAS, ICPMS.
these techniques require sample preparation in a particular way.
few of the companies or institutions where they carryout AAS or ICPMS provide the sample preparation services too.
If not sample can be prepared and sent for analysis.
basically, sample preparation involves the homogenization followed by acid or microwave digestion or in some cases combination of acid and microwave digestion. then analysis using any one of the techniques and comparing it with the standard.
if the percentage of assimilation to be known it as to be compared with control samples
plz go through this paper where they describe the methodology: Analysis of heavy metal accumulation in fish from the coastal waters of Terengganu, Malaysia
if you're asking how to measure the metals in the water analytically, then simply search in the literature for your metal(s) of interest. For all metals there are methods published. Typically AAS, ICP-MS, NAA or other analytical chemistry methods. As said by Paul you might want to distinguish between total and free dissolved metal concentrations (the latter is sometimes pragmatically identified by the cncentration that passes a 0.45 µm or 0.22 µm filter). Measurements can be supported by speciation calculations if you know the constitution of the test water.