The least common multiple (LCM) of 5, 6, and 7 is 210. To find this, first determine the prime factors for each number: 5 is prime, 6 is 2x3, and 7 is prime. Since these numbers share no common prime factors, their LCM is found by multiplying them together. Therefore, 5 multiplied by 6 multiplied by 7 equals 210.
The least common multiple (LCM) of 5 and 7 is 35. Since both 5 and 7 are prime numbers, their only positive factors are 1 and themselves. To find the LCM of two prime numbers, you simply multiply them together. Their product gives the smallest number that both 5 and 7 can divide into evenly....
To find the least common multiple (LCM) of 3, 5, and 7, recognize that all three numbers are prime. When finding the LCM of multiple prime numbers, the simplest method is to multiply them together. So, 3 multiplied by 5, and then by 7, yields 105. This result, 105, is the smallest positive integer perfectly...
To calculate the least common multiple (LCM) of 4, 5, and 7, start by finding the prime factorization of each. Four is 2^2. Five and seven are prime numbers themselves. The LCM is derived by taking the highest power of all prime factors across these numbers. Multiplying 2^2 (from 4), 5, and 7 yields 4...
The least common multiple (LCM) of 5, 7, and 8 is 280. To determine this, first find the prime factorization of each number. Five and seven are prime numbers. Eight's prime factorization is 2^3. The LCM is calculated by taking the highest power of all prime factors present across these numbers. So, multiply 5 x...
The least common multiple (LCM) signifies the smallest positive integer that is a multiple of two or more given integers. It's a fundamental concept in mathematics, particularly useful when working with fractions to find a common denominator. The LCM ensures that the selected number is the smallest value into which all the original numbers can...
If two events reoccur at intervals of 5 and 7 days, they will next align after 35 days. This problem is solved by finding the least common multiple (LCM). As 5 and 7 are both prime numbers, their LCM is simply their product. Multiplying 5 by 7 yields 35. This indicates that 35 days is...
To determine the least common multiple (LCM) of 6 and 8, consider their prime factors. Six is 2 x 3, and eight is 2^3. The LCM involves taking the highest power of each unique prime factor present. So, we choose 2^3 (from 8) and 3 (from 6). Multiplying these, 8 x 3, yields 24. This...
The least common multiple (LCM) of 2, 3, and 5 is 30. As 2, 3, and 5 are all prime numbers, their LCM is determined by simply multiplying them together. Therefore, 2 x 3 x 5 equals 30. This outcome signifies that 30 is the smallest positive integer that can be perfectly divided by 2,...
To find the least common multiple (LCM) of 10 and 15, use prime factorization. Ten is 2 x 5, and fifteen is 3 x 5. The LCM is derived by taking the highest power of all unique prime factors. So, we multiply 2, 3, and 5. This calculation yields 30. Thus, 30 is the smallest...