Find the LCM of 514, 663, 977, 903, 697 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 514, 663, 977, 903, 697. So, keep reading to learn more.
Given numbers are 514,663,977,903,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,663,977,903,697 is 4108862076774.
Find LCM of 514,663,977,903,697 with Prime Factorization
3 | 514, 663, 977, 903, 697 |
17 | 514, 221, 977, 301, 697 |
514, 13, 977, 301, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 514 x 13 x 977 x 301 x 41 = 4108862076774
Therefore, the lowest common multiple of 514,663,977,903,697 is 4108862076774.
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.
514 x 663 x 977 x 903 x 697 = 209551965915474
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.
514 : 1, 2, 257, 514
663 : 1, 3, 13, 17, 39, 51, 221, 663
977 : 1, 977
903 : 1, 3, 7, 21, 43, 129, 301, 903
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,663,977,903,697, is 1.
Now, the common factors can be found like this.
514:2x 257
663:3x 13x 17
977:977
903:3x 7x 43
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 209551965915474/(1x51)
LCM = 209551965915474/51
LCM = 4108862076774
Thus, we can understand that the LCM of 514,663,977,903,697 is 4108862076774.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 663, 977, 903, 697?
Answer: LCM of 514, 663, 977, 903, 697 is 4108862076774.
2. How to calculate the LCM of 514, 663, 977, 903, 697?
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 514, 663, 977, 903, 697.
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}.