Find the LCM of 856, 877, 579, 943, 770 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, 877, 579, 943, 770. So, keep reading to learn more.
Given numbers are 856,877,579,943,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,877,579,943,770 is 157806302447640.
Find LCM of 856,877,579,943,770 with Prime Factorization
2 | 856, 877, 579, 943, 770 |
428, 877, 579, 943, 385 |
Multiply the prime numbers at the bottom and the left side.
2 x 428 x 877 x 579 x 943 x 385 = 157806302447640
Therefore, the lowest common multiple of 856,877,579,943,770 is 157806302447640.
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 877 x 579 x 943 x 770 = 315612604895280
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
877 : 1, 877
579 : 1, 3, 193, 579
943 : 1, 23, 41, 943
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,877,579,943,770, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
877:877
579:3x 193
943:23x 41
770:2x 5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 315612604895280/(1x2)
LCM = 315612604895280/2
LCM = 157806302447640
Thus, we can understand that the LCM of 856,877,579,943,770 is 157806302447640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 856, 877, 579, 943, 770?
Answer: LCM of 856, 877, 579, 943, 770 is 157806302447640.
2. How to calculate the LCM of 856, 877, 579, 943, 770?
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, 877, 579, 943, 770.
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}.