LCM of 813, 575, 555, 713, 647
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 575, 555, 713, 647 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 813, 575, 555, 713, 647. So, keep reading to learn more.
Given numbers are 813,575,555,713,647
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,575,555,713,647 is 346917404775.
Find LCM of 813,575,555,713,647 with Prime Factorization
| 3 | 813, 575, 555, 713, 647 |
| 5 | 271, 575, 185, 713, 647 |
| 23 | 271, 115, 37, 713, 647 |
| 271, 5, 37, 31, 647 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 271 x 5 x 37 x 31 x 647 = 346917404775
Therefore, the lowest common multiple of 813,575,555,713,647 is 346917404775.
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.
813 x 575 x 555 x 713 x 647 = 119686504647375
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.
813 : 1, 3, 271, 813
575 : 1, 5, 23, 25, 115, 575
555 : 1, 3, 5, 15, 37, 111, 185, 555
713 : 1, 23, 31, 713
647 : 1, 647
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,575,555,713,647, is 1.
Now, the common factors can be found like this.
813:3x 271
575:5x 5x 23
555:3x 5x 37
713:23x 31
647:647
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 = 119686504647375/(1x345)
LCM = 119686504647375/345
LCM = 346917404775
Thus, we can understand that the LCM of 813,575,555,713,647 is 346917404775.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 813, 575, 555, 713, 647
1. What is the LCM of 813, 575, 555, 713, 647?
Answer: LCM of 813, 575, 555, 713, 647 is 346917404775.
2. How to calculate the LCM of 813, 575, 555, 713, 647?
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 813, 575, 555, 713, 647.
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}.