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What is the least common multiple of 23 and 92?
The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. To find the LCM of 23 and 92, we first need to find the prime factorization of each number. The prime factorization of 23 is 23, as it is a prime number. The prime factorization of 92 is 2^2 * 23. To find the LCM, we take the highest power of each prime factor that appears in either number, so the LCM of 23 and 92 is 2^2 * 23 = 92.
Which number has both the factors 4 and 6?
The number that has both the factors 4 and 6 is the least common multiple (LCM) of 4 and 6. To find the LCM, we need to identify the prime factors of each number. The prime factors of 4 are 2^2, and the prime factors of 6 are 2 * 3. To find the LCM, we take the highest power of each prime factor that appears in either number, which gives us 2^2 * 3 = 12. Therefore, the number that has both the factors 4 and 6 is 12.
What is the LCM of 5 25 and 125?
To find the Least Common Multiple (LCM) of 5, 25, and 125, we need to first find the prime factorization of each number. The prime factorization of 5 is 5, the prime factorization of 25 is 5^2, and the prime factorization of 125 is 5^3. The LCM is the product of the highest power of each prime factor that appears in any of the numbers, which in this case is 5^3, equaling 125. Therefore, the LCM of 5, 25, and 125 is 125.
Least common multiple of 168 and 378?
To find the least common multiple (LCM) of two numbers, you first need to find the prime factorization of each number. The prime factorization of 168 is 2^3 * 3 * 7 and the prime factorization of 378 is 2 * 3^3 * 7. To find the LCM, you take the highest power of each prime factor that appears in either number: 2^3 * 3^3 * 7 = 1512. Therefore, the least common multiple of 168 and 378 is 1512.
What is the LCM of 136 and 102 and 204?
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.
