LCM of 813, 418, 912, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 418, 912, 913 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, 418, 912, 913. So, keep reading to learn more.
Given numbers are 813,418,912,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,418,912,913 is 225649776.
Find LCM of 813,418,912,913 with Prime Factorization
| 2 | 813, 418, 912, 913 |
| 3 | 813, 209, 456, 913 |
| 11 | 271, 209, 152, 913 |
| 19 | 271, 19, 152, 83 |
| 271, 1, 8, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 271 x 1 x 8 x 83 = 225649776
Therefore, the lowest common multiple of 813,418,912,913 is 225649776.
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 418 x 912 x 913 = 282964819104
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,418,912,913, is 1.
Now, the common factors can be found like this.
813:3x 271
418:2x 11x 19
912:2x 2x 2x 2x 3x 19
913:11x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 19 = 1254
Therefore, the value for common factors is 1254.
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 = 282964819104/(1x1254)
LCM = 282964819104/1254
LCM = 225649776
Thus, we can understand that the LCM of 813,418,912,913 is 225649776.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 813, 418, 912, 913
1. What is the LCM of 813, 418, 912, 913?
Answer: LCM of 813, 418, 912, 913 is 225649776.
2. How to calculate the LCM of 813, 418, 912, 913?
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, 418, 912, 913.
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}.