Determine LCM(12,9,18)=square Using the LCM to clear the denominators of -(7x)/(12)+(5)/(9)=(1)/(18) we get the following equation: square =square . -(7x)/(12)+(5)/(9)=(1)/(18) has solution: x.=square

To determine the least common multiple (LCM) of 12, 9, and 18, we first find the prime factorizations of each number:- 12 = 2^2 * 3- 9 = 3^2- 18 = 2 * 3^2The LCM is found by taking the highest power of each prime that appears in the factorizations:- The highest power of 2 is 2^2.- The highest power of 3 is 3^2.Thus, the LCM is 2^2 * 3^2 = 4 * 9 = 36.So, .Next, we use the LCM to clear the denominators of the equation .Multiplying each term by the LCM of 36, we get: Simplifying each term: Solving for : Therefore, the solution to the equation is .