Answer:
The lcm is; 40b^2n^3
Step-by-step explanation:
There are no common factors between the two expressions and as such the lcm will be found by obtaining the product of he two;
8b^2*5n^3 = 40b^2n^3
For this case, we have that by definition, the LCM of two or more natural numbers, is the smallest natural number that is a common multiple of all of them.
Then, the LCM of 8 and 5 is the smallest positive integer that divides both numbers without leaving residues.
Multiplos:
8: 8,16,24,32,40,48
5: 1,10,15,20,25,30,35,40,45
Thus, the LCM of 8 and 5 is 40.
Therefore the LCM of the given expressions is:
[tex]40b ^ 2n ^ 3[/tex]
Answer:
[tex]40b ^ 2n ^ 3[/tex]
