Find the LCM of 926, 926, 392, 320, 839 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 926, 926, 392, 320, 839. So, keep reading to learn more.
Given numbers are 926,926,392,320,839
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,926,392,320,839 is 6091005760.
Find LCM of 926,926,392,320,839 with Prime Factorization
2 | 926, 926, 392, 320, 839 |
2 | 463, 463, 196, 160, 839 |
2 | 463, 463, 98, 80, 839 |
463 | 463, 463, 49, 40, 839 |
1, 1, 49, 40, 839 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 463 x 1 x 1 x 49 x 40 x 839 = 6091005760
Therefore, the lowest common multiple of 926,926,392,320,839 is 6091005760.
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.
926 x 926 x 392 x 320 x 839 = 90244341340160
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.
926 : 1, 2, 463, 926
926 : 1, 2, 463, 926
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
839 : 1, 839
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,926,392,320,839, is 1.
Now, the common factors can be found like this.
926:2x 463
926:2x 463
392:2x 2x 2x 7x 7
320:2x 2x 2x 2x 2x 2x 5
839:839
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 2x 2x 463 = 14816
Therefore, the value for common factors is 14816.
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 = 90244341340160/(1x14816)
LCM = 90244341340160/14816
LCM = 6091005760
Thus, we can understand that the LCM of 926,926,392,320,839 is 6091005760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 926, 926, 392, 320, 839?
Answer: LCM of 926, 926, 392, 320, 839 is 6091005760.
2. How to calculate the LCM of 926, 926, 392, 320, 839?
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 926, 926, 392, 320, 839.
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}.