What is the least common denominator of the fractions (4)/(15),(1)/(20) , and (3)/(8)

To find the least common denominator (LCD) of the fractions , , and , we need to find the least common multiple (LCM) of their denominators: 15, 20, and 8.First, let's find the prime factorization of each number:- 15 = 3 × 5- 20 = 2^2 × 5- 8 = 2^3Next, we find the LCM by taking the highest power of each prime factor that appears in the factorizations:- The highest power of 2 is 2^3.- The highest power of 3 is 3.- The highest power of 5 is 5.Therefore, the LCM of 15, 20, and 8 is: So, the least common denominator of the fractions , , and is .