Find the LCM of 709, 917, 655, 687 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 709, 917, 655, 687. So, keep reading to learn more.
Given numbers are 709,917,655,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,917,655,687 is 2233275555.
Find LCM of 709,917,655,687 with Prime Factorization
131 | 709, 917, 655, 687 |
709, 7, 5, 687 |
Multiply the prime numbers at the bottom and the left side.
131 x 709 x 7 x 5 x 687 = 2233275555
Therefore, the lowest common multiple of 709,917,655,687 is 2233275555.
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.
709 x 917 x 655 x 687 = 292559097705
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.
709 : 1, 709
917 : 1, 7, 131, 917
655 : 1, 5, 131, 655
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,917,655,687, is 1.
Now, the common factors can be found like this.
709:709
917:7x 131
655:5x 131
687:3x 229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
131 = 131
Therefore, the value for common factors is 131.
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 = 292559097705/(1x131)
LCM = 292559097705/131
LCM = 2233275555
Thus, we can understand that the LCM of 709,917,655,687 is 2233275555.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 917, 655, 687?
Answer: LCM of 709, 917, 655, 687 is 2233275555.
2. How to calculate the LCM of 709, 917, 655, 687?
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 709, 917, 655, 687.
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}.