LCM of 813, 315, 770, 509
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 315, 770, 509 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, 315, 770, 509. So, keep reading to learn more.
Given numbers are 813,315,770,509
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,315,770,509 is 955917270.
Find LCM of 813,315,770,509 with Prime Factorization
| 3 | 813, 315, 770, 509 |
| 5 | 271, 105, 770, 509 |
| 7 | 271, 21, 154, 509 |
| 271, 3, 22, 509 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 271 x 3 x 22 x 509 = 955917270
Therefore, the lowest common multiple of 813,315,770,509 is 955917270.
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 315 x 770 x 509 = 100371313350
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
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
509 : 1, 509
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,315,770,509, is 1.
Now, the common factors can be found like this.
813:3x 271
315:3x 3x 5x 7
770:2x 5x 7x 11
509:509
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 7 = 105
Therefore, the value for common factors is 105.
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 = 100371313350/(1x105)
LCM = 100371313350/105
LCM = 955917270
Thus, we can understand that the LCM of 813,315,770,509 is 955917270.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 813, 315, 770, 509
1. What is the LCM of 813, 315, 770, 509?
Answer: LCM of 813, 315, 770, 509 is 955917270.
2. How to calculate the LCM of 813, 315, 770, 509?
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, 315, 770, 509.
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}.