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" DEFINITION. The Lowest Common Multiple of two or more algebraic expressions is the expression of lowest dimensions which is divisible by each of them without remainder. The abbreviation L. "
Elements of Algebra - Page 102
by Henry Sinclair Hall - 1918
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Algebra for Colleges and Schools

Henry Sinclair Hall, Samuel Ratcliffe Knight - Algebra - 1897 - 548 pages
...and C. Therefore G is the highest common factor of A, B, G. CHAPTER XII. LOWEST COMMON MULTIPLE. 125. DEFINITION'. The Lowest Common Multiple of two or...by each of them without remainder. The abbreviation LGM is sometimes used instead of the words lowest common multiple. SIMl'LE EXPRESSIONS. 126. The LCM...
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A School Algebra Complete

Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 482 pages
...or more algebraic expressions is an expression which will contain each of them without a remainder. The Lowest Common Multiple of two or more algebraic expressions is the expression of lowest degree which will contain them all without a remainder. Ex. 1. The lowest common multiple, or LCM,...
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Academic Algebra

William James Milne - Algebra - 1901 - 476 pages
...multiple of two or more expressions is not necessarily their least common multiple. 154. PRINCIPLE. — The lowest common multiple of two or more algebraic expressions is the product of all their different prime factors, using each factor the greatest number of times it occurs...
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Advanced Algebra for Colleges and Schools

William James Milne - Algebra - 1902 - 620 pages
...multiple of two or more expressions is not necessarily their least common multiple. 154. PRINCIPLE. — The lowest common multiple of two or more algebraic expressions is the product of all their different prime factors, using eacii factor the greatest number of times it occurs...
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School Algebra

John Marvin Colaw - Algebra - 1903 - 444 pages
...+ xl. 28. 2ar^ + 5x2 + 5a; + 6, 3a? + 5a? - 5x -6, afi + 4a;2 + a; + 2. LOWEST COMMON MULTIPLE 168. The Lowest Common Multiple of two or more algebraic expressions is the expression of lowest degree that is exactly divisible by each of them. Thus, cr262c2 is the lowest common multiple of a6'!«,...
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An Algebra for Grammar Schools

Charles Austin Hobbs - Algebra - 1905 - 158 pages
...more algebraic expressions is an expression which can be divided by each of them without a remainder. The lowest common multiple of two or more algebraic expressions is the expression of lowest degree which can be divided by each of them without a remainder. For example, 24a6¿6 is a common multiple...
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First Year in Algebra

Frederick Howland Somerville - Algebra - 1905 - 222 pages
...contain a2i2, a864, a*№, and a866. Hence, a6i6 is a multiple of a2//2, a8i4, a4i6, and а366. 102. The Lowest Common Multiple of two or more algebraic expressions is the expression of lowest degree that will contain each of them without a remainder. Thus: Given, Cl О 8 4 a466 is the expression...
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Elementary Algebra

Frederick Howland Somerville - Algebra - 1908 - 428 pages
...definition the algebraic expressions are understood to include only rational and integral expressions. 158. The lowest common multiple of two or more algebraic expressions is the expression of lowest degree and least numerical coefficient that will contain each of them without a remainder. Thus : (3...
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A Grammar School Algebra

Fletcher Durell, Edward Rutledge Robbins - Algebra - 1909 - 296 pages
...or more algebraic expressions is an expression which will contain each of them without a remainder. The Lowest Common Multiple of two or more algebraic expressions is the expression of lowest degree which will contain them all without a remainder. Ex. 1. The lowest common multiple, or LCM,...
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Durell's Introductory Algebra

Fletcher Durell - Algebra - 1912 - 300 pages
...or more algebraic expressions is an expression which will contain each of them without a remainder. The lowest common multiple of two or more algebraic expressions is the expression of lowest degree which will contain them all without a remainder. Thus, the lowest common multiple, or LCM, of...
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