LCD stands for "least common divisor" which is actually a mistaken term because it would mean the smallest integer that evenly divides every member of a set - that's always 1 !
The two terms that are being confused in LCD are actually
> Least common multiple (LCM), the smallest number that's a multiple of all members of the set
> Greatest common factor (GCF), the largest number that evenly divides every member of the set
4, 7, and 9 do not have any factors in common, so their LCM is simply their product, 252, while their GCF is 1.
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LCD(7, 9, 2) = 126.
The LCD of 3/4 and 7/9 is 36.
84
LCD(4, 9) = 36.
The LCD for 4/7 and 7/8 is 56.