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" A multiple of a number contains all the prime factors of that number ; and the common multiple of two or more numbers contains all the prime factors of each of the numbers. "
Children's Arithmetic by Grades: Essential elements. Fourth book, fifth year - Page 65
by William Estabrook Chancellor - 1901 - 144 pages
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The Elementary Arithmetic: Oral and Written

Albert Newton Raub - Arithmetic - 1894 - 200 pages
...PRINCIPLES. — 1. Every multiple of a number contains the prime factors of that number. 2. The least common multiple of two or more numbers contains all the prime factors of each of the numbers, and no other factors. WRITTEN PROBLEMS. Ex. Find the least common multiple of...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 418 pages
...С. М. FOUND BY FACTORING. 235. Since any multiple of a number contains all of its factors, a common multiple of two or more numbers contains all the prime factors of each ; and the L. С. М. of two or more numbers contains all the prime factors of each number, and...
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The Werner Arithmetic: Oral and Written, Volume 2

Frank H. Hall - Arithmetic - 1896 - 296 pages
...square yards of pavement in a street that is 60 feet wide and 252 feet long ? Simple Numbers. A common multiple of two or more numbers contains all the prime factors of each of them. EXAMPLE. M\ - 9 o 9 K must contain as factors three 2's, two 5's, HI - ^ x 4 x Z x 0....
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The Werner Arithmetic, Oral and Written, Book Two, Parts I and II, Book 2

Frank H. Hall - Arithmetic - 1896 - 300 pages
...square yards of pavement in a street that is 60 feet wide and 252 feet long ? Simple Numbers. A common multiple of two or more numbers contains all the prime factors of each of them. EXAMPLE. , 30 = 2 x 3 x 5. A common multiple of 30, 40, and 50 Jf» 9 о 9 к must contain...
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For 6th-8th grade

George Edward Atwood - Arithmetic - 1899 - 392 pages
...— 1. Every multiple of a number contains all the prime factors of that number. 2. The least common multiple of two or more .numbers contains all the prime factors of each of the numbers, but no others. 3. If two or more numbers are prime to each other, their least...
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School Arithmetic; Advanced Book

John Marvin Colaw, John Kelley Elkwood - Arithmetic - 1900 - 450 pages
...factors must be multiplied together to produce the LCM of 6 and 14 ? 129. PRINCIPLE. — The least common multiple of two or more numbers contains all the prime factors of those numbers, and no others. If a factor is common to two or more numbers, it is contained in the LCM only the greatest...
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Ferrell's Advanced Arithmetic, Book 2

John Appley Ferrell - History - 1901 - 448 pages
...each of them. 2. A multiple of a number contains all the prime factors of that number; and a common multiple of two or more numbers contains all the prime factors of each of them. 4- The LCM of two or more numbers is a multiple of all the factors of thosc numbers....
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Arithmetic: Intermediate : Essential Principles

William Estabrook Chancellor - Arithmetic - 1902 - 264 pages
...? 11. What is the ratio of 1 to 3 ? of 3 to 6 ? Multiplying both the numerator and the denominator LEAST COMMON MULTIPLE A multiple of a number is a...must be the least common multiple of those numbers. l. Find the LCM of 12, 20, 30, 54. 2 12 20 30 54 б 10 15 27 3 5 15 27 L. С. M. = 2 x 2 x 3 x 5 x...
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The Model Elementary Arithmeti:c: Oral and Written, Part 2

Edward Gideon - Arithmetic - 1902 - 182 pages
...Common Multiples. I. A multiple of a number contains all the prime factors of that number. II. A common multiple of two or more numbers contains all the prime factors of each of those numbers. III. The least common multiple of two or more numbers is the least number that...
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New Commercial Arithmetic

John Henry Moore - Business mathematics - 1904 - 404 pages
...common multiple. 3. A multiple of a number contains all the prime factors of that number. 4. A common multiple of two or more numbers contains all the prime factors of each of the numbers. 5. The least common multiple of two or more numbers is the least number that will...
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