Find the LCM of 914, 865, 106, 424 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 914, 865, 106, 424. So, keep reading to learn more.
Given numbers are 914,865,106,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,865,106,424 is 167609320.
Find LCM of 914,865,106,424 with Prime Factorization
2 | 914, 865, 106, 424 |
53 | 457, 865, 53, 212 |
457, 865, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 457 x 865 x 1 x 4 = 167609320
Therefore, the lowest common multiple of 914,865,106,424 is 167609320.
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.
914 x 865 x 106 x 424 = 35533175840
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.
914 : 1, 2, 457, 914
865 : 1, 5, 173, 865
106 : 1, 2, 53, 106
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,865,106,424, is 1.
Now, the common factors can be found like this.
914:2x 457
865:5x 173
106:2x 53
424:2x 2x 2x 53
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 53 = 212
Therefore, the value for common factors is 212.
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 = 35533175840/(1x212)
LCM = 35533175840/212
LCM = 167609320
Thus, we can understand that the LCM of 914,865,106,424 is 167609320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 865, 106, 424?
Answer: LCM of 914, 865, 106, 424 is 167609320.
2. How to calculate the LCM of 914, 865, 106, 424?
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 914, 865, 106, 424.
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}.