2,3,4,6,8, 12
The product of three numbers on three sides is required to be equal.
Find the common multiple of all numbers first.
Starting with the least common multiple,
24,24 =12 * 2 cannot represent the product of three numbers given for the topic, so give up.
48,48= 12*4= 12*2*2
It cannot be expressed as the product of three numbers given for a topic, and the same number cannot be multiplied repeatedly.
. give up
96,96= 12*4*2
96=8*3*4
96=6*2*8
comply with the requirements
The number that appears twice in the above three equations is placed at the vertex of the triangle.
So, 2, 8 and 4 are placed on three vertices.
6 is between 2 and 8.
3 is between 8 and 4.
12 is between 2 and 4.