Oh, dude, finding the LCM of 136 and 204 is like finding your keys in a messy room - you just gotta look around a bit. So, the LCM is the smallest number that both 136 and 204 can divide evenly into. You can start by listing the multiples of each number and then find the smallest number they have in common. It's like a math puzzle, but with less excitement.
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To find the Least Common Multiple (LCM) of 136 and 204, you can first find the Greatest Common Divisor (GCD) of the two numbers using a method like Euclid's algorithm. Once you have the GCD, you can use the formula: LCM(a, b) = (a * b) / GCD(a, b). In this case, the GCD of 136 and 204 is 68, so the LCM would be (136 * 204) / 68 = 408.
Factor them.
2 x 2 x 2 x 17 = 136
2 x 2 x 3 x 17 = 204
Select the highest amount of each factor.
2 x 2 x 2 x 3 x 17 = 408, the LCM
408
To find the Least Common Multiple (LCM) of 136, 102, and 204, we first need to find the prime factorization of each number. The prime factorization of 136 is 2^3 * 17, the prime factorization of 102 is 2 * 3 * 17, and the prime factorization of 204 is 2^2 * 3 * 17. To find the LCM, we take the highest power of each prime factor that appears in any of the numbers: 2^3 * 3 * 17 = 408. Therefore, the LCM of 136, 102, and 204 is 408.
Factors of 136: 1, 2, 4, 8, 17, 34, 68, 136 Factors of 204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204 Factors of 255: 1, 3, 5, 15, 17, 51, 85, 255 GCF (136, 204, 255) = 17
204
The GCF is 68.