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What is the LCM of 25 45 and 60 using prime factorization?
It is: 22*32*52 = 900
What is the LCM of 5 10 and 45?
The Least Common Multiple (LCM) of 5, 10, and 45 is the smallest multiple that all three numbers share. To find the LCM, you first need to find the prime factorization of each number. The prime factorization of 5 is 5, 10 is 2 x 5, and 45 is 3 x 3 x 5. Then, you take the highest power of each prime factor that appears in any of the numbers to calculate the LCM. In this case, the LCM of 5, 10, and 45 is 2 x 3 x 3 x 5, which equals 90.
What is the least common multiple of 9 45 and 81?
To find the least common multiple (LCM) of 9, 45, and 81, we first need to factorize each number. The prime factorization of 9 is 3^2, 45 is 3^2 * 5, and 81 is 3^4. The LCM is the product of the highest power of each prime factor that appears in any of the numbers. Therefore, the LCM of 9, 45, and 81 is 3^4 * 5, which equals 405.
What is the least common multiple of 35 and 45?
The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. To find the LCM of 35 and 45, you first need to find the prime factorization of each number: 35 = 5 x 7 and 45 = 3 x 3 x 5. Then, you identify the common and uncommon prime factors and multiply them together to get the LCM. In this case, the LCM of 35 and 45 is 3 x 3 x 5 x 7 = 315.
What is the least common multiple of 32 and 45?
The LCM of 32 and 45 is 1440. 32 and 45 have no common factors. We call this relatively prime. When you have relatively prime numbers, their LCM is their product.Since 32 and 45 share no common factors, the LCM would be 32*45 = 1440.
