Question

table of contents > module 7: rational expressions and equations > practice: add and subtract rational e
practice: add and subtract rational ex
part i
practice: add and subtract rational expressions part i
score: 3/6 answered: 3/6
question 4
use prime factorization to find the least common multiple of 6, 50, and 75.
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Explanation:

Step1: Prime Factorize Each Number

• Factorize 6: $6 = 2 \times 3$
• Factorize 50: $50 = 2 \times 5^2$
• Factorize 75: $75 = 3 \times 5^2$

Step2: Identify Highest Powers of Primes

• For prime 2: highest power is $2^1$ (from 6 or 50)
• For prime 3: highest power is $3^1$ (from 6 or 75)
• For prime 5: highest power is $5^2$ (from 50 or 75)

Step3: Calculate LCM

Multiply these highest powers: $LCM = 2^1 \times 3^1 \times 5^2 = 2 \times 3 \times 25 = 150$

Answer:

150