 | Dana Pond Colburn - 1855 - 396 σελίδες
...follows that, — 1. A multiple of a number must contain all the prime factors of that number. 2. A common multiple of two or more numbers must contain all the prime factors of each of them. 3. The least common multiple of two or more numbers must be the smallest number which... | |
 | Dana Pond Colburn - 1856 - 392 σελίδες
...follows that, — 1. A multiple of a number must contain all the prime factors of that numker. 2. A common multiple of two or more numbers must contain all the prime factors of each of them. 3. The least common multiple of two or more numbers must be the smallest number which... | |
 | Joseph Ray - 1857 - 348 σελίδες
...10 is not divisible by 6, because 3, one of the prime factors of 6, is not a factor of 10. Hence, a common multiple of two or more numbers must contain all the prime factors in those numbers; and, To be the least common multiple, (LCM), it must not contain any prime factor... | |
 | Dana Pond Colburn - 1858 - 288 σελίδες
...follows that — 1st. A multiple of a number must contain all the prime factors of that number. 2d. A common multiple of two or more numbers must contain all the prime factors of those numbers. 3d. The least common multiple of two or more numbers must be the least number that... | |
 | Dana Pond Colburn - 1860 - 388 σελίδες
...follows that, . — 1. A multiple of a number must contain all the prime factors of that number. 2. A common multiple of two or more numbers must contain all the prime factors of each of them. 3. The least common multiple of two or more numbers must be the smallest number which... | |
 | Horatio Nelson Robinson - 1860 - 444 σελίδες
...of two or more numbers must contain all the prime factors of each of those numbers. III. The least common multiple of two or more numbers must contain all the prime factors of each of those numbers, and no other factors. 1. Find the least common multiple of 63, 66, and 78.... | |
 | Dana Pond Colburn - 1860 - 158 σελίδες
...: — 1st. Every Multiple of a number must contain all the prime factors of that number. 2d. Every Common Multiple of two or more numbers must contain all the prime factors of each of those numbers. 3d. The Least Common Multiple of two or more numbers is the smallest number... | |
 | Emerson Elbridge White - 1861 - 348 σελίδες
...all its prime factors, otherwise it can not contain the number itself. It follows from this, that a common multiple of two or more numbers must contain all the prime factors of each of the numbers, and that the least common multiple of two or more numbers must contain all... | |
 | Edward Brooks - 1863 - 350 σελίδες
...PROP. I. — A multiple of a number must contain all the prime factors of that number. PROP. II. — A common multiple of two or more numbers must contain all the prime factors of each of those numbers. PROP. III. — The least common multiple of two or more numbers must contain... | |
 | Joseph Ray - 1857 - 358 σελίδες
...10 is not divisible by C, because 3, one of the prime factors of G, is not a factor of 10. Hence, a common multiple of two or more numbers must contain all the prime factors in those numbers; and, To be the least common multiple, (LCM), it must not contain any prime factor... | |
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A common multiple of two or more numbers must contain all the prime factors of each of them. 
