How many common multiples of 6 and 9 are found when you pick 3 of the natural number cards in sequence from 0 to 4 to form a 3-digit number?
[OP_LIST_SOL] 0 1 2 3 4 [OP_LIST_EOL] 3 [OP_LIST_GET_PERM] 6 9 [OP_LCM] [OP_LIST_DIVISIBLE] [OP_LIST_LEN]
var_a = 0
var_b = 1
var_c = 2
var_d = 3
var_e = 4
list_a= []
if "/" in str(var_e):
    var_e = eval(str(var_e))
list_a.append(var_e)
if "/" in str(var_d):
    var_d = eval(str(var_d))
list_a.append(var_d)
if "/" in str(var_c):
    var_c = eval(str(var_c))
list_a.append(var_c)
if "/" in str(var_b):
    var_b = eval(str(var_b))
list_a.append(var_b)
if "/" in str(var_a):
    var_a = eval(str(var_a))
list_a.append(var_a)
list_a.reverse()
var_f = 3
list_b = [str(i) for i in list_a]
list_b = list(itertools.permutations(list_b, var_f))
list_b = [''.join(num_list) for num_list in list_b]
list_b = [str_num for str_num in list_b if str_num[0] != '0']
list_b = [float(i) for i in list_b]
var_g = 6
var_h = 9
var_i = var_h * var_g / math.gcd(int(var_h), int(var_g))
list_c = []
var_i = int(var_i)
for i in list_b:
    i = int(i)
    if i % var_i == 0:
        list_c.append(i)
var_j = len(list_c)
print(int(var_j))