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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1858 Excerpt: ...of the numbers. 105. Rule.--To find the Least Common Multiple of any numbers, divide as many of them as possible by any prime number which is a common measure; bring down the undivided numbers, and divide those in the second line by any prime number which measures two or more of them. Proceed in this way, until no common divisor can be found. The product of all the divisors, and of the numbers remaining in the lowest line, will be the least common multiple. 106. Example Op Working.--Find the least common multiple of 15, 18, and 20. 5)15 18 20 Five measures 15 and 20. Set down 3,18, and 4. 3)3 18 4 But 3 will measure two of these numbers, 3 and 9iTT ft i. down 1, 6, and 4. 'Two measures 6 and 4. Set down 1. 3, and 2. 13 2 6 X 3 X 2 X 3 X 2 = 180 = L. C. M. of 15, 18, 20. Exeeoise XXIV. (a)--Oral. (1). Find the L. C. M. of 6 and 8; of 10 and 12. (2). 15 and 10, 24 and 30, 18and 15. (3). 20 and 30,48 and 27. (4). 50 and 60, 35 and 55. (5). 63 and 18, 56 and 40. (6). 25 and 75, 120 and 80,132 and 77, 99 and 12. (7). 3,4, and6; 10,12, and 15. (8). 20, 30, and40; 14,21, and 70. (b)--Written. (1). Find the L. C. M. of 24, 32, 10, and 15. (2). 54, 81, 63, and 90; 21, 11, 17, and 3' 16,17, 18, and 19. (3). 30, 75, and 1515; 56, 54, 88, 21, and 33; 108, 11, and 99. (4). The nine digits; 581, 923, and 249; 52, 81, 13, 90, and 33. (5). 620, 540,75, and 27; 451, 55, and 289; 5, 11, 9, 21, and 30. "14,19, 20, 24, and 38; 206,100, and 309; 12,35,28, and 40. 8,12, 20, and 100; 72,54,108, and 500; 560,760, and 960. (6). (7). VULGAR OR COMMON FRACTIONS. 107. Example.--What is the fifth part of two inches? I, A Explanation.--The fifth part of two inches must be less than a whole inch; and we have to find what part of an inch it is. Let A C represent a line two inches long...
