Find the LCM of 319, 682, 706, 449 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 319, 682, 706, 449. So, keep reading to learn more.
Given numbers are 319,682,706,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,682,706,449 is 3134753666.
Find LCM of 319,682,706,449 with Prime Factorization
2 | 319, 682, 706, 449 |
11 | 319, 341, 353, 449 |
29, 31, 353, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 31 x 353 x 449 = 3134753666
Therefore, the lowest common multiple of 319,682,706,449 is 3134753666.
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.
319 x 682 x 706 x 449 = 68964580652
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.
319 : 1, 11, 29, 319
682 : 1, 2, 11, 22, 31, 62, 341, 682
706 : 1, 2, 353, 706
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,682,706,449, is 1.
Now, the common factors can be found like this.
319:11x 29
682:2x 11x 31
706:2x 353
449:449
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 68964580652/(1x22)
LCM = 68964580652/22
LCM = 3134753666
Thus, we can understand that the LCM of 319,682,706,449 is 3134753666.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 682, 706, 449?
Answer: LCM of 319, 682, 706, 449 is 3134753666.
2. How to calculate the LCM of 319, 682, 706, 449?
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 319, 682, 706, 449.
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}.