LCM of 569, 795, 923, 742, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 569, 795, 923, 742, 639 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 569, 795, 923, 742, 639. So, keep reading to learn more.
Given numbers are 569,795,923,742,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,795,923,742,639 is 17535993930.
Find LCM of 569,795,923,742,639 with Prime Factorization
| 3 | 569, 795, 923, 742, 639 |
| 53 | 569, 265, 923, 742, 213 |
| 71 | 569, 5, 923, 14, 213 |
| 569, 5, 13, 14, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 53 x 71 x 569 x 5 x 13 x 14 x 3 = 17535993930
Therefore, the lowest common multiple of 569,795,923,742,639 is 17535993930.
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.
569 x 795 x 923 x 742 x 639 = 197963835475770
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.
569 : 1, 569
795 : 1, 3, 5, 15, 53, 159, 265, 795
923 : 1, 13, 71, 923
742 : 1, 2, 7, 14, 53, 106, 371, 742
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,795,923,742,639, is 1.
Now, the common factors can be found like this.
569:569
795:3x 5x 53
923:13x 71
742:2x 7x 53
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 53x 71 = 11289
Therefore, the value for common factors is 11289.
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 = 197963835475770/(1x11289)
LCM = 197963835475770/11289
LCM = 17535993930
Thus, we can understand that the LCM of 569,795,923,742,639 is 17535993930.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 569, 795, 923, 742, 639
1. What is the LCM of 569, 795, 923, 742, 639?
Answer: LCM of 569, 795, 923, 742, 639 is 17535993930.
2. How to calculate the LCM of 569, 795, 923, 742, 639?
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 569, 795, 923, 742, 639.
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}.