Find the LCM of 653, 259, 575, 621, 795 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 653, 259, 575, 621, 795. So, keep reading to learn more.
Given numbers are 653,259,575,621,795
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,259,575,621,795 is 139161923775.
Find LCM of 653,259,575,621,795 with Prime Factorization
3 | 653, 259, 575, 621, 795 |
5 | 653, 259, 575, 207, 265 |
23 | 653, 259, 115, 207, 53 |
653, 259, 5, 9, 53 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 653 x 259 x 5 x 9 x 53 = 139161923775
Therefore, the lowest common multiple of 653,259,575,621,795 is 139161923775.
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.
653 x 259 x 575 x 621 x 795 = 48010863702375
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.
653 : 1, 653
259 : 1, 7, 37, 259
575 : 1, 5, 23, 25, 115, 575
621 : 1, 3, 9, 23, 27, 69, 207, 621
795 : 1, 3, 5, 15, 53, 159, 265, 795
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,259,575,621,795, is 1.
Now, the common factors can be found like this.
653:653
259:7x 37
575:5x 5x 23
621:3x 3x 3x 23
795:3x 5x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 23 = 345
Therefore, the value for common factors is 345.
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 = 48010863702375/(1x345)
LCM = 48010863702375/345
LCM = 139161923775
Thus, we can understand that the LCM of 653,259,575,621,795 is 139161923775.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 653, 259, 575, 621, 795?
Answer: LCM of 653, 259, 575, 621, 795 is 139161923775.
2. How to calculate the LCM of 653, 259, 575, 621, 795?
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 653, 259, 575, 621, 795.
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}.