Well, isn't that a happy little question! To find the Least Common Multiple (LCM) of 288 and 39, we can first find the prime factorization of each number. Then, we can multiply the highest power of each prime factor to get the LCM. It's like mixing different colors on your palette to create a beautiful new shade!
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Oh, dude, the LCM for 288 and 39 is 1,872. It's like the least common multiple these two numbers can agree on, you know? So, if you're ever in a situation where 288 and 39 need to find a common ground, 1,872 is where they meet.
To find the Least Common Multiple (LCM) of 288 and 39, we need to first find the prime factorization of each number.
288 = 2^5 * 3^2 and 39 = 3 * 13.
To find the LCM, we take the highest power of each prime factor that appears in either number.
Therefore, the LCM of 288 and 39 is 2^5 * 3^2 * 13 = 1872.
LCM of 15 and 39 is 195.
288
To find the Least Common Multiple (LCM) of 18, 32, and 48, we first need to prime factorize each number. Then, we identify the highest power of each prime factor that appears in any of the factorizations. The LCM is the product of these prime factors raised to their highest powers: LCM(18, 32, 48) = 2^5 * 3^2 = 288.
The LCD is the LCM (least common multiple) of all the denominators. The LCM of 3, 4, 32, and 9 is 288, which is the multiple of the highest power of prime factors from all of the given numbers (25 x 32 = 288). Prime factors: 3 = 3; 4 = 22; 32 = 25; 9 = 32 (highest power shown in bold type) The given fractions with an LCM would be 96/288, 216/288, 45/288, and 256/288.
The LCM of the given three numbers is 780