Problem

Find the least common denominator for the fractions in the list.
1335r5,720r3

The LCD is . (Simplify your answer.)

Answer

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Answer

Therefore, the least common denominator for the fractions is 140r5.

Steps

Step 1 :The least common denominator (LCD) of two fractions is the least common multiple (LCM) of their denominators. In this case, the denominators are 35r5 and 20r3.

Step 2 :To find the LCM of these two expressions, we need to find the LCM of their numerical coefficients (35 and 20) and the highest power of r that appears in either expression (r5).

Step 3 :The LCM of 35 and 20 is 140, and the highest power of r is r5.

Step 4 :Therefore, the least common denominator for the fractions is 140r5.

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