i need to know how to work this problem out its very hard for me to understand how to solve it.
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The simplest way to do these types of questions is to start with the Number at the front of the Monomial.  In this case the numbers are:

20 and 4.

Factor these to primes:

20 = 2 x 2 x 5

4 = 2 x 2

Keep in mind that the LCM is the smallest number that you can divide both numbers (4 & 20) into with no remainder.  It also happens to be the shared prime factors combined.  It might in this case be obvious that the LCM is 20, but you can also see this from the fact that if you combine the prime factors, you'll also get 2 x 2 x 5.

The easy part is the exponents.  You simply need the largest exponent from any of the combined monomials.  When you think about this it should make sense because for example, x^3  = x * x * x.  Any smaller exponent like x^2 is by definition going to be evenly divisible since division by an exponent with the same base is subtraction.  Just find the largest exponent for each variable:

You have 20y^3 vs 4y^4.  y^4 is larger than y^3.

You have 20^x^4 vs 4x^9.  x^9 is larger than x^4.

So your final LCM is:


Related questions

1 answer
asked May 23 in Algebra 1 Answers by anonymous | 76 views
1 answer
asked Oct 26, 2017 in Other Math Topics by kate98 Level 1 User (200 points) | 46 views
1 answer
1 answer
asked Jan 10, 2014 in Algebra 1 Answers by Kelly | 104 views
1 answer
asked Oct 1, 2013 in Algebra 1 Answers by pattyguest | 124 views
1 answer
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
83,674 questions
88,560 answers
5,770 users