Find the LCM of 18 x^2 y^4 and 30x^5 y^3

Question

anonymous · Answer

6x^2y^3	18x^2y^4	30x^5y^3
	            3y	              5x^3
		
		
=(6x^2y^3)*(3y)*(5x^3)

anonymous · Answer

so for lcm you have to break the numbers down to prime factorization

  18 
 6   3
2 3   3

  30
5   6
5  2 3

anonymous · Answer

the set of numbers both have a 2 and the most 2 any of them have is one so you include one 2

the next number is 5 and only one of them has a 5 and the number of 5 is one so you include one 5

the next number is a 3 and they both have a 3, the most most number of 3 is two so you include two number 3

2*5*3*3=90

anonymous · Answer

you do the same with the the variables, you look at both take the ones with the highest power

x^5*y^4

anonymous · Answer

so your answer is 90x^5*y^4