Find the LCM of 391, 909, 644, 107 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 391, 909, 644, 107. So, keep reading to learn more.
Given numbers are 391,909,644,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,909,644,107 is 1064835324.
Find LCM of 391,909,644,107 with Prime Factorization
23 | 391, 909, 644, 107 |
17, 909, 28, 107 |
Multiply the prime numbers at the bottom and the left side.
23 x 17 x 909 x 28 x 107 = 1064835324
Therefore, the lowest common multiple of 391,909,644,107 is 1064835324.
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.
391 x 909 x 644 x 107 = 24491212452
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.
391 : 1, 17, 23, 391
909 : 1, 3, 9, 101, 303, 909
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,909,644,107, is 1.
Now, the common factors can be found like this.
391:17x 23
909:3x 3x 101
644:2x 2x 7x 23
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 24491212452/(1x23)
LCM = 24491212452/23
LCM = 1064835324
Thus, we can understand that the LCM of 391,909,644,107 is 1064835324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 909, 644, 107?
Answer: LCM of 391, 909, 644, 107 is 1064835324.
2. How to calculate the LCM of 391, 909, 644, 107?
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 391, 909, 644, 107.
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}.