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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.
In the early 1950s, Mike Nichols wrote the following announcer test for radio station WFMT in Chicago. The WFMT announcer's lot is not a happy one. In addition to uttering the sibilant, mellifluous cadences of such cacophonous sounds as Hans Schmidt-Isserstedt, Carl Schuricht, Nicanor Zabaleta, Hans Knappertsbusch and the Hammerklavier Sonata, he must thread his vocal way through the ...
O’Connor came from a prosperous and well-rooted Chicago family. His parents were John O’Connor and Nelie Johnson O’Connor. O'Connor's mother descended from ancestors who were among the first Puritan settlers of Massachusetts, while his father was an attorney who at one time shared an office with the famous lawyer Clarence Darrow.
gcd(a, b) is closely related to the least common multiple lcm(a, b): we have gcd(a, b)⋅lcm(a, b) = | a⋅b |. This formula is often used to compute least common multiples: one first computes the GCD with Euclid's algorithm and then divides the product of the given numbers by their GCD. The following versions of distributivity hold true:
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.
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:
The Wiesen Test of Mechanical Aptitude (WTMA) is among the most popular mechanical reasoning tests and is considered very reliable. [1] The WTMA is a 30 minute, sixty-question test used to measure mechanical aptitude. It is used for employment testing of job applicants and to help select vocational education students. The WTMA assesses broad ...
In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.