Find the LCM of 655, 794, 910, 365, 876 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 655, 794, 910, 365, 876. So, keep reading to learn more.
Given numbers are 655,794,910,365,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,794,910,365,876 is 20728950060.
Find LCM of 655,794,910,365,876 with Prime Factorization
2 | 655, 794, 910, 365, 876 |
5 | 655, 397, 455, 365, 438 |
73 | 131, 397, 91, 73, 438 |
131, 397, 91, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 131 x 397 x 91 x 1 x 6 = 20728950060
Therefore, the lowest common multiple of 655,794,910,365,876 is 20728950060.
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.
655 x 794 x 910 x 365 x 876 = 151321335438000
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.
655 : 1, 5, 131, 655
794 : 1, 2, 397, 794
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
365 : 1, 5, 73, 365
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,794,910,365,876, is 1.
Now, the common factors can be found like this.
655:5x 131
794:2x 397
910:2x 5x 7x 13
365:5x 73
876:2x 2x 3x 73
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 5x 5x 73 = 7300
Therefore, the value for common factors is 7300.
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 = 151321335438000/(1x7300)
LCM = 151321335438000/7300
LCM = 20728950060
Thus, we can understand that the LCM of 655,794,910,365,876 is 20728950060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 794, 910, 365, 876?
Answer: LCM of 655, 794, 910, 365, 876 is 20728950060.
2. How to calculate the LCM of 655, 794, 910, 365, 876?
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 655, 794, 910, 365, 876.
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}.