Find the LCM of 339, 759, 621, 514 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, 759, 621, 514. So, keep reading to learn more.
Given numbers are 339,759,621,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,759,621,514 is 396758142.
Find LCM of 339,759,621,514 with Prime Factorization
3 | 339, 759, 621, 514 |
23 | 113, 253, 207, 514 |
113, 11, 9, 514 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 113 x 11 x 9 x 514 = 396758142
Therefore, the lowest common multiple of 339,759,621,514 is 396758142.
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 759 x 621 x 514 = 82128935394
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
621 : 1, 3, 9, 23, 27, 69, 207, 621
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,759,621,514, is 1.
Now, the common factors can be found like this.
339:3x 113
759:3x 11x 23
621:3x 3x 3x 23
514:2x 257
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 23 = 207
Therefore, the value for common factors is 207.
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 = 82128935394/(1x207)
LCM = 82128935394/207
LCM = 396758142
Thus, we can understand that the LCM of 339,759,621,514 is 396758142.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 339, 759, 621, 514?
Answer: LCM of 339, 759, 621, 514 is 396758142.
2. How to calculate the LCM of 339, 759, 621, 514?
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, 759, 621, 514.
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}.