Well, honey, the Least Common Multiple (LCM) of 18, 81, and 270 is 810. It's like finding the common ground in a messy family reunion - you gotta pick the biggest number that all the others can agree on. So, there you have it, 810 is the magic number that keeps these three troublemakers in line.
To find the Least Common Multiple (LCM) of 18, 81, and 270, we first need to find the prime factorization of each number. The prime factorization of 18 is 2 x 3^2, of 81 is 3^4, and of 270 is 2 x 3^3 x 5. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2 x 3^4 x 5 = 810. Therefore, the LCM of 18, 81, and 270 is 810.
270
18 = 2 x 32 81 = 34 108 = 22 x 33 LCM = 22 x 34 = 4 x 81 = 324
The LCM of 18, 27, and 45 is 270
To find two numbers with a greatest common factor (GCF) of 15 and a least common multiple (LCM) of 270, we can use the relationship between GCF, LCM, and the two numbers. The relationship is LCM(a,b) = (a * b) / GCF(a,b). Given GCF = 15 and LCM = 270, we can substitute these values into the formula to get 270 = (15 * b) / 15. Solving for b gives us b = 270 / 15 = 18. Therefore, the two numbers are 15 and 18.
45 = 32 x 5 15 = 3 x 5 18 = 2 x 32 27 = 33 LCM = 2 x 33 x 5 = 270
810
The LCM is 270.
The LCM is 162.
270
The LCM is: 6,480.
The LCM is: 5,670.
6480. 48 = 24 x 3 81 = 34 270 = 2 x 33 x 5 lcm = 24 x 34 x 5 = 6480
The LCM of 18 and 81 is 162
270
18 = 2 x 32 81 = 34 108 = 22 x 33 LCM = 22 x 34 = 4 x 81 = 324
810
648