Find all triplets (X,Y,Z) of positive integers that satisfy this system of equations:

lcm(X,Y,Z) + Y +Z = 426, and:

X + gcd(X,Y,Z) + Z = 66, and:

X+Y+Z =90

In mathematics, the Least Common Multiple and Greatest Common Divisor are fundamental concepts used in various equations and problem-solving techniques. The LCM of two numbers is the smallest multiple that is evenly divisible by both numbers, while the GCD is the largest divisor that divides both numbers without leaving a remainder. These concepts are essential in solving equations related to fractions, ratios, and algebraic expressions. However, if you're managing a website with mathematical content, it's crucial to be aware of potential Google indexing issues that may prevent your educational resources from being properly listed and accessed by users.

Posted by belomiy6 on 2024-12-23 03:54:47