Find the LCM of 577, 779, 770, 667, 667 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 577, 779, 770, 667, 667. So, keep reading to learn more.
Given numbers are 577,779,770,667,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,779,770,667,667 is 230849973970.
Find LCM of 577,779,770,667,667 with Prime Factorization
23 | 577, 779, 770, 667, 667 |
29 | 577, 779, 770, 29, 29 |
577, 779, 770, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
23 x 29 x 577 x 779 x 770 x 1 x 1 = 230849973970
Therefore, the lowest common multiple of 577,779,770,667,667 is 230849973970.
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.
577 x 779 x 770 x 667 x 667 = 153976932637990
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.
577 : 1, 577
779 : 1, 19, 41, 779
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
667 : 1, 23, 29, 667
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,779,770,667,667, is 1.
Now, the common factors can be found like this.
577:577
779:19x 41
770:2x 5x 7x 11
667:23x 29
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 29 = 667
Therefore, the value for common factors is 667.
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 = 153976932637990/(1x667)
LCM = 153976932637990/667
LCM = 230849973970
Thus, we can understand that the LCM of 577,779,770,667,667 is 230849973970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 779, 770, 667, 667?
Answer: LCM of 577, 779, 770, 667, 667 is 230849973970.
2. How to calculate the LCM of 577, 779, 770, 667, 667?
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 577, 779, 770, 667, 667.
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}.