Find the LCM of 339, 851, 590, 413, 313 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 339, 851, 590, 413, 313. So, keep reading to learn more.
Given numbers are 339,851,590,413,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,851,590,413,313 is 372926845410.
Find LCM of 339,851,590,413,313 with Prime Factorization
59 | 339, 851, 590, 413, 313 |
339, 851, 10, 7, 313 |
Multiply the prime numbers at the bottom and the left side.
59 x 339 x 851 x 10 x 7 x 313 = 372926845410
Therefore, the lowest common multiple of 339,851,590,413,313 is 372926845410.
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.
339 x 851 x 590 x 413 x 313 = 22002683879190
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.
339 : 1, 3, 113, 339
851 : 1, 23, 37, 851
590 : 1, 2, 5, 10, 59, 118, 295, 590
413 : 1, 7, 59, 413
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,851,590,413,313, is 1.
Now, the common factors can be found like this.
339:3x 113
851:23x 37
590:2x 5x 59
413:7x 59
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
59 = 59
Therefore, the value for common factors is 59.
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 = 22002683879190/(1x59)
LCM = 22002683879190/59
LCM = 372926845410
Thus, we can understand that the LCM of 339,851,590,413,313 is 372926845410.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 851, 590, 413, 313?
Answer: LCM of 339, 851, 590, 413, 313 is 372926845410.
2. How to calculate the LCM of 339, 851, 590, 413, 313?
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 339, 851, 590, 413, 313.
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}.