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Rational Arithmetic

Rational Arithmetic


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About the Book

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. 1920 Excerpt: ...The product of the prime factors of several numbers is the least common multiple of those numbers. 5 11 150. To Find the Least Common Multiple of Several Numbers: Find the prime factors of the numbers. Multiply these factors together. The result will be the least common multiple of the original numbers. ILLUSTRATED SOLUTION 151. Problem: Find the least common multiple of 24, 15, 36, and 9. Write the numbers in line. 2 is the smallest prime factor contained in any two or more. Divide by 2 where possible, bringing down numbers of which 2 is not a factor. The result is 12, 15, 18, 9. 2 is a 2X2X3X3X2X5 = 360. factor of 12 and 18. Proceed as before. The result is 6, 15, 9, 9. 3 is a prime factor of 15 and 9. Proceed as before. The result of this is 2, 5, 3, 3. 3 is a factor of 3 and 3. Proceed as before. The result is 2, 5, 1, 1, each of which is a prime number. The prime factors then are 2, 2, 3, 3, 2, 5. Multiply these and we obtain 360, which is the least common multiple. 152. To Check the Work: Divide the least common multiple by each of the original numbers, thus: 36024 = 15 360-15 = 24 360-36 = 10 360-r 9 = 40 GREATEST COMMON DIVISOR 153. A Common Divisor of two or more numbers is any number that will exactly divide each of them. 154. The Greatest Common Divisor is the greatest number that will exactly divide each of them. 7 is a common divisor of 21, 35, and 14. It will divide each of them exactly. Some numbers have no common divisor. No number will divide both 9 and 8 exactly. Such numbers are said to be prime to each other. 155. To Find the Greatest Common Divisor: Divide the greater number by the lesser. Then divide the first divisor by the remainder, and so continue until the division is exact, or there is a remainder of one. If exact, the last divis...


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Product Details
  • ISBN-13: 9781151808769
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 44
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1151808768
  • Publisher Date: 14 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 95 gr


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