Find the LCM of 855, 748, 979, 892, 700 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 855, 748, 979, 892, 700. So, keep reading to learn more.
Given numbers are 855,748,979,892,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,748,979,892,700 is 444253263300.
Find LCM of 855,748,979,892,700 with Prime Factorization
2 | 855, 748, 979, 892, 700 |
2 | 855, 374, 979, 446, 350 |
5 | 855, 187, 979, 223, 175 |
11 | 171, 187, 979, 223, 35 |
171, 17, 89, 223, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 171 x 17 x 89 x 223 x 35 = 444253263300
Therefore, the lowest common multiple of 855,748,979,892,700 is 444253263300.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
855 x 748 x 979 x 892 x 700 = 390942871704000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
979 : 1, 11, 89, 979
892 : 1, 2, 4, 223, 446, 892
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,748,979,892,700, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
748:2x 2x 11x 17
979:11x 89
892:2x 2x 223
700:2x 2x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 11 = 880
Therefore, the value for common factors is 880.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 390942871704000/(1x880)
LCM = 390942871704000/880
LCM = 444253263300
Thus, we can understand that the LCM of 855,748,979,892,700 is 444253263300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 855, 748, 979, 892, 700?
Answer: LCM of 855, 748, 979, 892, 700 is 444253263300.
2. How to calculate the LCM of 855, 748, 979, 892, 700?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 855, 748, 979, 892, 700.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.