Elements of the Theory of Integers

Macmillan, 1903 - Number theory - 258 pages

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Page 240 - М.) of two or more expressions is the product of all their different prime factors (§ 109), each taken the greatest number of times that it occurs as a factor in any one of the expressions. 121. Required the LCM of...
Page 188 - EF and 677 on the diagonal q' and the corresponding segments on r' and »' are the diameters of the three couples of spheres that intersect in the three circles X, Y, Z. These results may be stated in the form of a theorem as follows: THEOREM.
Page 155 - The operation of multiplication is always possible. The operation of division is possible only when the passiv number is a multiple of the activ number.
Page 221 - LCM as the largest number of times that it occurs in any one of the given expressions.
Page 174 - A factor is common to two or more numbers when it is a factor of each of them. Thus, 3 is a common factor of 12 and 15.