LCM of 695, 713, 589, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 713, 589, 779 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 695, 713, 589, 779. So, keep reading to learn more.
Given numbers are 695,713,589,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,713,589,779 is 386021765.
Find LCM of 695,713,589,779 with Prime Factorization
| 19 | 695, 713, 589, 779 |
| 31 | 695, 713, 31, 41 |
| 695, 23, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
19 x 31 x 695 x 23 x 1 x 41 = 386021765
Therefore, the lowest common multiple of 695,713,589,779 is 386021765.
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.
695 x 713 x 589 x 779 = 227366819585
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.
695 : 1, 5, 139, 695
713 : 1, 23, 31, 713
589 : 1, 19, 31, 589
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,713,589,779, is 1.
Now, the common factors can be found like this.
695:5x 139
713:23x 31
589:19x 31
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 31 = 589
Therefore, the value for common factors is 589.
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 = 227366819585/(1x589)
LCM = 227366819585/589
LCM = 386021765
Thus, we can understand that the LCM of 695,713,589,779 is 386021765.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 695, 713, 589, 779
1. What is the LCM of 695, 713, 589, 779?
Answer: LCM of 695, 713, 589, 779 is 386021765.
2. How to calculate the LCM of 695, 713, 589, 779?
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 695, 713, 589, 779.
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}.