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Find the least common denominator of 1/2x-6 and 2x/7x-21.

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6 votes
Wrong subject, this is Spanish
answered
User Tabish Usman
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3 votes

Answer:

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.2(x−3),7(x−3)2(x-3),7(x-3)The LCM is the smallest positive number that all of the numbers divide into evenly.1. List the prime factors of each number.2. Multiply each factor the greatest number of times it occurs in either number.Since 22 has no factors besides 11 and 22.22 is a prime numberSince 77 has no factors besides 11 and 77.77 is a prime numberThe LCM of 2,72,7 is the result of multiplying all primefactors the greatest number of times they occur in either number.2⋅72⋅7Multiply 22 by 77.1414The factor for x−3x-3 is x−3x-3 itself.(x−3)=x−3(x-3)=x-3(x−3)(x-3) occurs 11 time.The LCM of x−3,x−3x-3,x-3 is the result of multiplying all factors the greatest number of times they occur in either term.x−3x-3The Least Common Multiple LCMLCM of some numbers is the smallest number that the numbers are factors of.14(x−3)14(x-3)12x−6, 2x7x−2112x-6, 2x7x-21

Step-by-step explanation:

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User Dbaltor
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