a,b,c三个数是自然数,a和b的最大公因数是10,a和c、b和c的最小公倍数是90.求abc有几种可能

90,10,910,90,990,10,1810,90,1890,10,4510,90,4530,10,910,30,930,10,1810,30,1830,10,4510,30,4512种