LCM of 706, 851, 977, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 851, 977, 851 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 706, 851, 977, 851. So, keep reading to learn more.
Given numbers are 706,851,977,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,851,977,851 is 586987462.
Find LCM of 706,851,977,851 with Prime Factorization
| 23 | 706, 851, 977, 851 |
| 37 | 706, 37, 977, 37 |
| 706, 1, 977, 1 |
Multiply the prime numbers at the bottom and the left side.
23 x 37 x 706 x 1 x 977 x 1 = 586987462
Therefore, the lowest common multiple of 706,851,977,851 is 586987462.
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.
706 x 851 x 977 x 851 = 499526330162
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.
706 : 1, 2, 353, 706
851 : 1, 23, 37, 851
977 : 1, 977
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,851,977,851, is 1.
Now, the common factors can be found like this.
706:2x 353
851:23x 37
977:977
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 37 = 851
Therefore, the value for common factors is 851.
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 = 499526330162/(1x851)
LCM = 499526330162/851
LCM = 586987462
Thus, we can understand that the LCM of 706,851,977,851 is 586987462.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 706, 851, 977, 851
1. What is the LCM of 706, 851, 977, 851?
Answer: LCM of 706, 851, 977, 851 is 586987462.
2. How to calculate the LCM of 706, 851, 977, 851?
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 706, 851, 977, 851.
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}.