Hi! ⋇
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To find the least common denominator of [tex]\sf{\frac{1}{2}}[/tex] and [tex]\sf{\frac{5}{6}}[/tex], we should first find the least common multiple of 2 and 6, which is 6:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16... ∞
Multiples of 6: 6, 12, 18, 24... ∞
(all common multiples are in bold-face; all multiples of 6 are in bold-face because all multiples of 6 are also multiples of 2)
· In both sets, 6 is the least common multiple, and it's also the least common denominator.
Hope this made sense to you !!
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