[tex]\tiny \orange{✨Answer ✨}[/tex]
[tex]\purple{The \: Least \: Common \: Multiples \: (LCM) \: of \: 20 \: and \: 50}[/tex]
[tex]\huge \red{✍Factor \: Tree✍}[/tex]
Prime factorization of 20 is;
2 x 2 x 5 = 2² x 5¹
20
/ \
2 10
/ \
2 5
Prime Factorization of 50 is:
2 x 5 x 5 = 2¹ x 5²
50
/ \
2 25
/ \
5 5
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is;
2, 2, 5, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 5 x 5 = 100
In exponential form:
LCM = 2² x 5² = 100
LCM = 100
Therefore, the LCM of 20 and 50 is 100
[tex]\pink{Note:}[/tex]there are 7 methods of finding the LCM and these are;
-Listing Multiples
-Prime Factorization
-Cake/Ladder
-Division Method
-GCF Method and the;
-Venn Diagram
But I used the Prime Factorization method because this is the common method that we're using on the MTAP