Holt Mcdougal Larson Algebra 2: Student Edition 2012
Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
Expert Solution & Answer
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Chapter SR4, Problem 45P
Solution

The least common multiple (LCM) of the numbers 27,81,and 33 .

  891

Given:

The numbers 27,81,and 33 .

Concept Used:

The LCM (Least Common Multiple) of a list of integers is the least integer that is divisible by all the integers in the list.

LCM (least common multiple) of a list of numbers can be found using following steps,

  1. Write prime factorization of each number
  2. Find the product of common factors that appear in each number and the remaining prime factors from each number that are not common.

Calculation:

In order to find the least common multiple of the given numbers 27,81,and 33 , find the prime factorization of each number and then multiply the factors that are common in each number and the remaining prime factors from each number that are not common to get the LCM of the numbers as shown below,

  Prime factors of 27,81,and 33:27=3×3×381=3×3×3×333=3×11LCM of 27,81,and 33 is:3×3×3×3×11=891

Thus, the least common multiple (LCM) of the given numbers is 891 .

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