Find the LCM of 265, 816, 717, 951, 951 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 265, 816, 717, 951, 951. So, keep reading to learn more.
Given numbers are 265,816,717,951,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,816,717,951,951 is 16382991120.
Find LCM of 265,816,717,951,951 with Prime Factorization
3 | 265, 816, 717, 951, 951 |
317 | 265, 272, 239, 317, 317 |
265, 272, 239, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 317 x 265 x 272 x 239 x 1 x 1 = 16382991120
Therefore, the lowest common multiple of 265,816,717,951,951 is 16382991120.
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.
265 x 816 x 717 x 951 x 951 = 140222020996080
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.
265 : 1, 5, 53, 265
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
717 : 1, 3, 239, 717
951 : 1, 3, 317, 951
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,816,717,951,951, is 1.
Now, the common factors can be found like this.
265:5x 53
816:2x 2x 2x 2x 3x 17
717:3x 239
951:3x 317
951:3x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 317 = 8559
Therefore, the value for common factors is 8559.
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 = 140222020996080/(1x8559)
LCM = 140222020996080/8559
LCM = 16382991120
Thus, we can understand that the LCM of 265,816,717,951,951 is 16382991120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 265, 816, 717, 951, 951?
Answer: LCM of 265, 816, 717, 951, 951 is 16382991120.
2. How to calculate the LCM of 265, 816, 717, 951, 951?
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 265, 816, 717, 951, 951.
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}.