Find the LCM of 321, 395, 493, 856 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 321, 395, 493, 856. So, keep reading to learn more.
Given numbers are 321,395,493,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,395,493,856 is 500079480.
Find LCM of 321,395,493,856 with Prime Factorization
107 | 321, 395, 493, 856 |
3, 395, 493, 8 |
Multiply the prime numbers at the bottom and the left side.
107 x 3 x 395 x 493 x 8 = 500079480
Therefore, the lowest common multiple of 321,395,493,856 is 500079480.
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.
321 x 395 x 493 x 856 = 53508504360
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.
321 : 1, 3, 107, 321
395 : 1, 5, 79, 395
493 : 1, 17, 29, 493
856 : 1, 2, 4, 8, 107, 214, 428, 856
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,395,493,856, is 1.
Now, the common factors can be found like this.
321:3x 107
395:5x 79
493:17x 29
856:2x 2x 2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 53508504360/(1x107)
LCM = 53508504360/107
LCM = 500079480
Thus, we can understand that the LCM of 321,395,493,856 is 500079480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 395, 493, 856?
Answer: LCM of 321, 395, 493, 856 is 500079480.
2. How to calculate the LCM of 321, 395, 493, 856?
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 321, 395, 493, 856.
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}.