LCM of 813, 411, 721, 515, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 411, 721, 515, 345 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, 411, 721, 515, 345. So, keep reading to learn more.
Given numbers are 813,411,721,515,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,411,721,515,345 is 9235155615.
Find LCM of 813,411,721,515,345 with Prime Factorization
| 3 | 813, 411, 721, 515, 345 |
| 5 | 271, 137, 721, 515, 115 |
| 103 | 271, 137, 721, 103, 23 |
| 271, 137, 7, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 103 x 271 x 137 x 7 x 1 x 23 = 9235155615
Therefore, the lowest common multiple of 813,411,721,515,345 is 9235155615.
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 411 x 721 x 515 x 345 = 42804946275525
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
411 : 1, 3, 137, 411
721 : 1, 7, 103, 721
515 : 1, 5, 103, 515
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,411,721,515,345, is 1.
Now, the common factors can be found like this.
813:3x 271
411:3x 137
721:7x 103
515:5x 103
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 103 = 4635
Therefore, the value for common factors is 4635.
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 = 42804946275525/(1x4635)
LCM = 42804946275525/4635
LCM = 9235155615
Thus, we can understand that the LCM of 813,411,721,515,345 is 9235155615.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 813, 411, 721, 515, 345
1. What is the LCM of 813, 411, 721, 515, 345?
Answer: LCM of 813, 411, 721, 515, 345 is 9235155615.
2. How to calculate the LCM of 813, 411, 721, 515, 345?
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, 411, 721, 515, 345.
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}.