SELECT 
  cscart_ult_product_prices.product_id, 
  MIN(
    IF(
      cscart_ult_product_prices.percentage_discount = 0, 
      cscart_ult_product_prices.price, 
      cscart_ult_product_prices.price - (
        cscart_ult_product_prices.price * cscart_ult_product_prices.percentage_discount
      )/ 100
    )
  ) AS price 
FROM 
  cscart_ult_product_prices 
WHERE 
  cscart_ult_product_prices.product_id IN (
    1556, 1557, 1558, 1559, 1560, 1561, 1562, 
    1563, 1564, 1565, 1566, 1567, 1568, 
    1569, 1570, 1571, 5245, 5246, 5247, 
    5248, 5249, 5250, 5251, 5252, 5253, 
    5254, 5255, 5256, 5257, 5258, 5259, 
    5260, 5261, 5262, 5263, 5264, 5265, 
    5266, 5267, 5268, 5269, 5270, 5271, 
    1600, 1601, 1602, 1603, 1604
  ) 
  AND cscart_ult_product_prices.lower_limit = 1 
  AND cscart_ult_product_prices.company_id = 1 
  AND cscart_ult_product_prices.usergroup_id IN (0, 0, 1) 
GROUP BY 
  cscart_ult_product_prices.product_id

Query time 0.00028

JSON explain

{
  "query_block": {
    "select_id": 1,
    "message": "no matching row in const table"
  }
}