Find the LCM of 587, 611, 813, 671, 717 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 587, 611, 813, 671, 717. So, keep reading to learn more.
Given numbers are 587,611,813,671,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,611,813,671,717 is 46761698584029.
Find LCM of 587,611,813,671,717 with Prime Factorization
3 | 587, 611, 813, 671, 717 |
587, 611, 271, 671, 239 |
Multiply the prime numbers at the bottom and the left side.
3 x 587 x 611 x 271 x 671 x 239 = 46761698584029
Therefore, the lowest common multiple of 587,611,813,671,717 is 46761698584029.
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.
587 x 611 x 813 x 671 x 717 = 140285095752087
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.
587 : 1, 587
611 : 1, 13, 47, 611
813 : 1, 3, 271, 813
671 : 1, 11, 61, 671
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,611,813,671,717, is 1.
Now, the common factors can be found like this.
587:587
611:13x 47
813:3x 271
671:11x 61
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 140285095752087/(1x3)
LCM = 140285095752087/3
LCM = 46761698584029
Thus, we can understand that the LCM of 587,611,813,671,717 is 46761698584029.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 587, 611, 813, 671, 717?
Answer: LCM of 587, 611, 813, 671, 717 is 46761698584029.
2. How to calculate the LCM of 587, 611, 813, 671, 717?
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 587, 611, 813, 671, 717.
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}.