Find the LCM of 920, 909, 435, 667, 256 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 920, 909, 435, 667, 256. So, keep reading to learn more.
Given numbers are 920,909,435,667,256
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,909,435,667,256 is 776067840.
Find LCM of 920,909,435,667,256 with Prime Factorization
2 | 920, 909, 435, 667, 256 |
2 | 460, 909, 435, 667, 128 |
2 | 230, 909, 435, 667, 64 |
3 | 115, 909, 435, 667, 32 |
5 | 115, 303, 145, 667, 32 |
23 | 23, 303, 29, 667, 32 |
29 | 1, 303, 29, 29, 32 |
1, 303, 1, 1, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 23 x 29 x 1 x 303 x 1 x 1 x 32 = 776067840
Therefore, the lowest common multiple of 920,909,435,667,256 is 776067840.
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.
920 x 909 x 435 x 667 x 256 = 62116469913600
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
909 : 1, 3, 9, 101, 303, 909
435 : 1, 3, 5, 15, 29, 87, 145, 435
667 : 1, 23, 29, 667
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,909,435,667,256, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
909:3x 3x 101
435:3x 5x 29
667:23x 29
256:2x 2x 2x 2x 2x 2x 2x 2
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 3x 5x 23x 29 = 80040
Therefore, the value for common factors is 80040.
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 = 62116469913600/(1x80040)
LCM = 62116469913600/80040
LCM = 776067840
Thus, we can understand that the LCM of 920,909,435,667,256 is 776067840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 909, 435, 667, 256?
Answer: LCM of 920, 909, 435, 667, 256 is 776067840.
2. How to calculate the LCM of 920, 909, 435, 667, 256?
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 920, 909, 435, 667, 256.
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}.