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What is the Least common Multiple and Greatest common Divisor of [7/38, 19/76, 35/ 21] ?

Question

What is the Least common Multiple and Greatest common Divisor of [7/38, 19/76, 35/ 21] ?

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Solution

The question seems to be a bit confusing as the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) are concepts that apply to integers, not fractions. However, if you want to find a common denominator (which is somewhat similar to the LCM) and a common numerator (somewhat similar to the GCD), here's how you could do it:

  1. First, simplify the fractions if possible. The given fractions are 7/38, 19/76, and 35/21. The third fraction simplifies to 5/3.

  2. To find a common denominator (similar to LCM), find the LCM of the denominators. The denominators are 38, 76, and 3. The LCM of 38, 76, and 3 is 228.

  3. To find a common numerator (similar to GCD), find the GCD of the numerators. The numerators are 7, 19, and 5. The GCD of 7, 19, and 5 is 1.

So, the common denominator is 228 and the common numerator is 1.

This problem has been solved

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