the LCD for the Fraction 1/3, 3/4, 5/32, and 8/9 is

http://www.helpwithfractions.com/least-common-denominator.html

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If you use the prime factorization method described in the reference provided by Writeacher, you will find:

the denominator is going to need the following factors:
two 3's, and five 2's.

Multipy them all together for the answer.

If you were going to add the fractions, you would also have to do some fraction conversions to the common deniminator and then add the numerators. But all they asked for was the LCD.

To find the Least Common Denominator (LCD) for the fractions 1/3, 3/4, 5/32, and 8/9, we need to determine the smallest common multiple of the denominators of these fractions.

The denominators of the given fractions are 3, 4, 32, and 9.

To find the LCD, we can follow these steps:

Step 1: Find the prime factors of each denominator:
- The prime factors of 3 are 3.
- The prime factors of 4 are 2 and 2.
- The prime factors of 32 are 2, 2, 2, 2, and 2.
- The prime factors of 9 are 3 and 3.

Step 2: Identify the highest power of each prime factor that appears in any of the denominators:
- The highest power of 2 is 2^5 = 32.
- The highest power of 3 is 3^2 = 9.

Step 3: Multiply these highest powers together to calculate the LCD:
LCD = 2^5 * 3^2 = 32 * 9 = 288.

So, the LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is 288.