LCD(7, 5, 10) = 10
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The least common multiple (LCM) of 5 and 7 is 35, not the least common denominator (LCD). The LCD is used in adding or subtracting fractions and is the least common multiple of the denominators. In this case, since 5 and 7 are prime numbers and have no common factors, the LCD is simply the product of the two denominators, which is 5 * 7 = 35.
The LCD of 6, 5, and 7 is 210.
Only if the LCD is different from the others. If you were adding 1/5 to 1/10, you wouldn't have to change the numerator of 1/10 since 10 is the LCD. But if you're adding 1/5 + 1/7, you have to change both numerators since the LCD in that case is 35.
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