Find the LCM of 605, 506, 920, 977, 591 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 605, 506, 920, 977, 591. So, keep reading to learn more.
Given numbers are 605,506,920,977,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,506,920,977,591 is 64276947240.
Find LCM of 605,506,920,977,591 with Prime Factorization
2 | 605, 506, 920, 977, 591 |
5 | 605, 253, 460, 977, 591 |
11 | 121, 253, 92, 977, 591 |
23 | 11, 23, 92, 977, 591 |
11, 1, 4, 977, 591 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 23 x 11 x 1 x 4 x 977 x 591 = 64276947240
Therefore, the lowest common multiple of 605,506,920,977,591 is 64276947240.
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.
605 x 506 x 920 x 977 x 591 = 162620676517200
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.
605 : 1, 5, 11, 55, 121, 605
506 : 1, 2, 11, 22, 23, 46, 253, 506
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
977 : 1, 977
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,506,920,977,591, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
506:2x 11x 23
920:2x 2x 2x 5x 23
977:977
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 23 = 2530
Therefore, the value for common factors is 2530.
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 = 162620676517200/(1x2530)
LCM = 162620676517200/2530
LCM = 64276947240
Thus, we can understand that the LCM of 605,506,920,977,591 is 64276947240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 506, 920, 977, 591?
Answer: LCM of 605, 506, 920, 977, 591 is 64276947240.
2. How to calculate the LCM of 605, 506, 920, 977, 591?
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 605, 506, 920, 977, 591.
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}.