Find the LCM of 632, 940, 574, 265, 395 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 632, 940, 574, 265, 395. So, keep reading to learn more.
Given numbers are 632,940,574,265,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 632,940,574,265,395 is 2259137720.
Find LCM of 632,940,574,265,395 with Prime Factorization
2 | 632, 940, 574, 265, 395 |
2 | 316, 470, 287, 265, 395 |
5 | 158, 235, 287, 265, 395 |
79 | 158, 47, 287, 53, 79 |
2, 47, 287, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 79 x 2 x 47 x 287 x 53 x 1 = 2259137720
Therefore, the lowest common multiple of 632,940,574,265,395 is 2259137720.
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.
632 x 940 x 574 x 265 x 395 = 35694375976000
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.
632 : 1, 2, 4, 8, 79, 158, 316, 632
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
574 : 1, 2, 7, 14, 41, 82, 287, 574
265 : 1, 5, 53, 265
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,940,574,265,395, is 1.
Now, the common factors can be found like this.
632:2x 2x 2x 79
940:2x 2x 5x 47
574:2x 7x 41
265:5x 53
395:5x 79
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 5x 5x 79 = 15800
Therefore, the value for common factors is 15800.
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 = 35694375976000/(1x15800)
LCM = 35694375976000/15800
LCM = 2259137720
Thus, we can understand that the LCM of 632,940,574,265,395 is 2259137720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 632, 940, 574, 265, 395?
Answer: LCM of 632, 940, 574, 265, 395 is 2259137720.
2. How to calculate the LCM of 632, 940, 574, 265, 395?
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 632, 940, 574, 265, 395.
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}.