Oh, dude, so like, the least common denominator for 5/12 and 1/4 is 12. It's like finding that one friend who can hang out with both the 5/12 crew and the 1/4 squad without any drama. Just multiply the denominators to get everyone on the same page, no biggie.
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Prime factorization:
512 = 29
14 = 2 x 7
The LCM of 512 is 29 x 7 = 3,584.
Thus, the least common denominator for 512 and 14 is 3,584.
The common denominator is 28.
There is none because the Least Common Denominator (or LCD) is the Least Common Multiple (LCM) of the denominators of a pair of fractions.
You need at least one more fraction in order to have a common denominator.
100
924