Answer:
LCD for 5, 3, 10, 8, 4 is 120
LCD 2, 10, 5, 8, 4 = 40
Explanation:
LCD (Least Common Denominator)
When adding fractions with different denominators, we must make all of them equal before attempting to add the numerators.
The minimum number that makes all denominators the same is the LCD. It uses the concept of the Lowest Common Multiple.
To find the LCD for 5, 3, 10, 8, 4, list all their prime factors:
5=5
3=3
10=2,5
8=2,2,2
4=2,2
Now multiply all the prime factors the maximum number of time it appears:
LCD=5*3*2*2*2=120
LCD for 5, 3, 10, 8, 4 is 120
Now for 2, 10, 5, 8, 4
2=2
10=2,5
5=5
8=2,2,2
4=2,2
LCD=2*2*2*5=40
LCD 2, 10, 5, 8, 4 = 40