Oh, isn't that a happy little question? To find the Least Common Multiple (LCM) of 35, 65, and 90, we can start by listing the prime factors of each number. Then, we can take the highest power of each prime factor that appears in any of the numbers. By doing this, we find the LCM, which is like a beautiful harmony of these numbers coming together. Just like how different colors blend on a canvas to create a masterpiece!
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The LCM is: 455
To find the Greatest Common Factor (GCF) of 35, 65, and 90, we need to first find the prime factorization of each number. 35 = 5 x 7 65 = 5 x 13 90 = 2 x 3 x 3 x 5 Next, we identify the common prime factors among the numbers, which are 5. Therefore, the GCF of 35, 65, and 90 is 5.
The GCF is 5. The LCM is 70. The difference is 65.
LCM = 90
The LCM of 30 and 65 is 390