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A multiple of a number is the product of that number and an integer. For example, 10 is a multiple of 5 because 5 × 2 = 10, so 10 is divisible by 5 and 2. Because 10 is the smallest positive integer that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
The lowest common denominator of a set of fractions is the lowest number that is a multiple of all the denominators: their lowest common multiple. The product of the denominators is always a common denominator, as in: + = + =
In the table below, the codes on the left produce the symbols on the right, but these symbols can also be entered directly in the wikitext either by typing them if they are available on the keyboard, by copy-pasting them, or by using menus below the edit windows.
Equivalently, g(n) is the largest least common multiple (lcm) of any partition of n, or the maximum number of times a permutation of n elements can be recursively applied to itself before it returns to its starting sequence. For instance, 5 = 2 + 3 and lcm(2,3) = 6. No other partition of 5 yields a bigger lcm, so g(5) = 6.
Not all of the symbols in these lists are displayed correctly on all browsers (see Help:Special characters). Although the symbols that correspond to named entities are very likely to be displayed correctly, a significant number of viewers will have problems seeing all the characters listed at Mathematical operators and symbols in Unicode.
This adds a new symbol (symbol and/or tex) to the table which will span number-of-meanings rows. It also provides the data for the first row of the symbol/span, using the other parameters. Additional rows for this symbol/span are specified using form 2 below.
The index of 1 / k where n / i+1 < k ≤ n / i and n is the least common multiple of the first i numbers, n = lcm([2, i]), is given by: [8] (/) = + = (). A similar expression was used as an approximation of I n ( x ) {\displaystyle I_{n}(x)} for low values of x {\displaystyle x} in the classical paper by F. Dress [ 9 ] .
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