Find the LCM of 337, 280, 343, 976, 815 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 337, 280, 343, 976, 815. So, keep reading to learn more.
Given numbers are 337,280,343,976,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,280,343,976,815 is 91945705040.
Find LCM of 337,280,343,976,815 with Prime Factorization
2 | 337, 280, 343, 976, 815 |
2 | 337, 140, 343, 488, 815 |
2 | 337, 70, 343, 244, 815 |
5 | 337, 35, 343, 122, 815 |
7 | 337, 7, 343, 122, 163 |
337, 1, 49, 122, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 337 x 1 x 49 x 122 x 163 = 91945705040
Therefore, the lowest common multiple of 337,280,343,976,815 is 91945705040.
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.
337 x 280 x 343 x 976 x 815 = 25744797411200
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.
337 : 1, 337
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
343 : 1, 7, 49, 343
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,280,343,976,815, is 1.
Now, the common factors can be found like this.
337:337
280:2x 2x 2x 5x 7
343:7x 7x 7
976:2x 2x 2x 2x 61
815:5x 163
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 25744797411200/(1x280)
LCM = 25744797411200/280
LCM = 91945705040
Thus, we can understand that the LCM of 337,280,343,976,815 is 91945705040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 337, 280, 343, 976, 815?
Answer: LCM of 337, 280, 343, 976, 815 is 91945705040.
2. How to calculate the LCM of 337, 280, 343, 976, 815?
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 337, 280, 343, 976, 815.
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}.