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
810
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.
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