Given that the greatest common divisors of a and b, a and c are 12 and 15 respectively, and the least common multiple of a, b and c is 120, what is the product of a, b and c?
已知a与b，a与c的最大公约数分别是12和15，a、b、c的最小公倍数是120，则a、b、c的乘积是多少．
<gadget id="calculator">60 * 24 * 15</gadget>
<output>21_600</output>

<result>21_600</result>