multistory
adjective
                                                                                                                            
                                                            mul·ti·sto·ry
                    
                                                                                                              
                                                                                                                                  ˌməl-tē-ˈstȯr-ē  
                                                                                                                              
            -ˌtī-
                                                      
                                                          
            variants  
 or less commonly multistoried    
    
                                                        ˌməl-tē-ˈstȯr-ēd  
                                                    
  
 or chiefly British multistorey    -ˌtī-
            
                                                        ˌməl-tē-ˈstȯr-ē  
                                                    
        -ˌtī-
            
        of a building      
      
                                
                                
              
          
                                                      : having more than two stories                                      
              
                             
a multistory apartment building
                         
                
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  Merriam-Webster unabridged




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