LCM of 813, 408, 547
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 408, 547 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, 408, 547. So, keep reading to learn more.
Given numbers are 813,408,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,408,547 is 60480696.
Find LCM of 813,408,547 with Prime Factorization
| 3 | 813, 408, 547 |
| 271, 136, 547 |
Multiply the prime numbers at the bottom and the left side.
3 x 271 x 136 x 547 = 60480696
Therefore, the lowest common multiple of 813,408,547 is 60480696.
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 408 x 547 = 181442088
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
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,408,547, is 1.
Now, the common factors can be found like this.
813:3x 271
408:2x 2x 2x 3x 17
547:547
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 181442088/(1x3)
LCM = 181442088/3
LCM = 60480696
Thus, we can understand that the LCM of 813,408,547 is 60480696.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 813, 408, 547
1. What is the LCM of 813, 408, 547?
Answer: LCM of 813, 408, 547 is 60480696.
2. How to calculate the LCM of 813, 408, 547?
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, 408, 547.
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}.