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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. 1861 Excerpt: ...as long as any common multiples remain. Then multiply the divisors and all the numbers in the last line continually together, and the result will be the least common multiple of the numbers given. 77. Ex. 1. Find the least common multiple of 8, 16, 20, 30. Here 2 is selected as the first divisor, since it will measure all the figures in the series. The quotients 4, 8, 10, 15, are set under their dividends, and, as 2 is the only number that will measure three of these numbers, that figure is selected as the second divisor. The quotients 2, 4, 5, and the undivided number 15 are brought down, and 5 is selected as the divisor of the third series; and the numbers then obtained are divided by 2. We have now four divisors--2, 2, 5, 2--which, together with the numbers in the last series, are multiplied continually together, producing as the least common multiple, 240. Exerc1se XXXIX. Find the least common multiples of the following: -78. Ex. 2. Find the least common multiple of 5, 16, 4. 0, 32 In this example, since 20 is a 4.1 () (16) (4) 20 - multiple of 5, any number which, S is a multiple of 20 will also be a';--5--7 multiple of 5. Therefore to find 4x5x-1o the multiple of 20 and of 5, the 5 need not be noticed. In hie manner, since 3 2 is a multiple of 4 and 16, in finding the multiple of 4, 16, and 32, 4 and 16 need not be noticed. It is only necessary, therefore, in this exercise, to find the least common measure of 20 and 32, --this is found to be 160, and is therefore the L. C. M. of 5, 16, 4, 20, and 32. The unused numbers should be enclosed in brackets. 183, 609, 21, 60 180, 150, 60, 90 55. 396, 132, 924 168, 168, 336, 280 31. 45. 54. 108 174, 84, 30, 40 240, 48, 30, 120 960, 96, 120, 480 360, 240,1080,216 FRACTIONS. 79. When a unit is divided into a .
