LCM of 405, 713, 813, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 713, 813, 279 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 405, 713, 813, 279. So, keep reading to learn more.
Given numbers are 405,713,813,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,713,813,279 is 78255315.
Find LCM of 405,713,813,279 with Prime Factorization
| 3 | 405, 713, 813, 279 |
| 3 | 135, 713, 271, 93 |
| 31 | 45, 713, 271, 31 |
| 45, 23, 271, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 45 x 23 x 271 x 1 = 78255315
Therefore, the lowest common multiple of 405,713,813,279 is 78255315.
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.
405 x 713 x 813 x 279 = 65499698655
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
713 : 1, 23, 31, 713
813 : 1, 3, 271, 813
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,713,813,279, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
713:23x 31
813:3x 271
279:3x 3x 31
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 3x 31 = 837
Therefore, the value for common factors is 837.
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 = 65499698655/(1x837)
LCM = 65499698655/837
LCM = 78255315
Thus, we can understand that the LCM of 405,713,813,279 is 78255315.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 713, 813, 279
1. What is the LCM of 405, 713, 813, 279?
Answer: LCM of 405, 713, 813, 279 is 78255315.
2. How to calculate the LCM of 405, 713, 813, 279?
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 405, 713, 813, 279.
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}.