A Grammar Shcool Arithmetic

Cover A Grammar Shcool Arithmetic
A Grammar Shcool Arithmetic
George Albert Wentworth
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22. 3,9,27,81. 32. 35,40,42,49,28.
23. 6,18,22,99. 33. 14,18,21,32,28.
24. 18,26,117,312. 34. 24,27,32,36,56.
26. 13,26,39,65. 36. 21,24,27,28,35.
26. 9,36,3,45. 36. 28,32,56,72,96.
101. If the given nambers are large, and contain no prime factors ijiat can readily be detected, the common factors may be obtained by the process of finding the G.C.M. under like circumstances.
Find the L. CM. of 1189 and 2117.
1189)2117(1 9118 928)1189(1 928 261)928(3 783 145)261(1 145 116)145(1 116 29)116(4 116 H
...ence, the G.C.M. = 29.
Therefore, 1189 = 29 X 41 ; 2117 = 29 X 73.
Therefore, the L. 0. M. = 29 X 41 X 73 = 1189 x 73.
Digitized byCjOOQlC 114 MULTIPLES AND MEASURES.
From this process it will be seen that : The L,C.M. of two numbers may he found by dividing one of the numbers by their 0,C.M., and TnuUiplying the quotient by the other number.
Ex. 66.
Find the L. CM. of: 1. 510 and 595.
7.
187 and 255.
2. 217 and 643.
8.
1261 and 663.
3. 506 and 308.
9.
255 and 357.
4. 296 and 407.
10.
432 and 840.


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