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Find the lowest common denominator (LCD) in the following group of fractions: 10/12 1/3 1/4

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Answer to a math question Find the lowest common denominator (LCD) in the following group of fractions: 10/12 1/3 1/4

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Miles
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114 Answers
1. Identify the denominators: 12, 3, 4.
2. Find the prime factorizations:
12 = 2^2 \cdot 3
3 = 3^1
4 = 2^2
3. Determine the highest power of each prime number:
- For 2: the highest power is 2^2 .
- For 3: the highest power is 3^1 .
4. Multiply these highest powers together:
2^2 \cdot 3^1 = 4 \cdot 3 = 12
5. The lowest common denominator is:
\text{LCD} = 12

Thus, the answer is

\text{LCD} = 12

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