Question

what is the least common multiple of the denominators for the two fractions 1/6 and 5/8? express your answer as an integer. view available hint(s) part b complete previous part(s) part c complete previous part(s) part d complete previous part(s) provide feedback

Explanation:

Step1: Identify denominators

Denominators are 6 and 8.

Step2: Prime factorize each number

$6 = 2 \times 3$
$8 = 2^3$

Step3: Take highest powers of primes

Highest power of 2: $2^3$, highest power of 3: $3^1$

Step4: Multiply the terms

$\text{LCM} = 2^3 \times 3 = 8 \times 3$

Answer:

24