The L.C.M of (x6-y6 ) and (x2 - y2)(x2 + y2 – xy) is ?
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Popular Problems Algebra Find the LCM x , 2x , 3x
, ,
Since contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
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.
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
Since has no factors besides and .
is a prime number
Since has no factors besides and .
is a prime number
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
Multiply by .
The factor for is itself.
occurs time.
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.
The LCM for is the numeric part multiplied by the variable part.