Find the LCM of 856, 299, 715, 769, 377 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 856, 299, 715, 769, 377. So, keep reading to learn more.
Given numbers are 856,299,715,769,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,299,715,769,377 is 313929392920.
Find LCM of 856,299,715,769,377 with Prime Factorization
13 | 856, 299, 715, 769, 377 |
856, 23, 55, 769, 29 |
Multiply the prime numbers at the bottom and the left side.
13 x 856 x 23 x 55 x 769 x 29 = 313929392920
Therefore, the lowest common multiple of 856,299,715,769,377 is 313929392920.
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.
856 x 299 x 715 x 769 x 377 = 53054067403480
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
299 : 1, 13, 23, 299
715 : 1, 5, 11, 13, 55, 65, 143, 715
769 : 1, 769
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,299,715,769,377, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
299:13x 23
715:5x 11x 13
769:769
377:13x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 53054067403480/(1x169)
LCM = 53054067403480/169
LCM = 313929392920
Thus, we can understand that the LCM of 856,299,715,769,377 is 313929392920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 856, 299, 715, 769, 377?
Answer: LCM of 856, 299, 715, 769, 377 is 313929392920.
2. How to calculate the LCM of 856, 299, 715, 769, 377?
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 856, 299, 715, 769, 377.
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}.