def sum_of_multiples(limit: int, multiples: list) -> int:
    set_of_multiples: set = set()
    sum: int = 0
    # search which level is multiple of 'multiple' and add them to the set
    for factor in multiples:
        for level in range(limit):
            if factor == 0:
                continue
            if level % factor == 0:
                set_of_multiples.add(level)
    # sum the items on the set
    for item in set_of_multiples:
        sum += item
    return sum