LCM of 681, 325, 813, 315, 390
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 325, 813, 315, 390 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 681, 325, 813, 315, 390. So, keep reading to learn more.
Given numbers are 681,325,813,315,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,325,813,315,390 is 2519121150.
Find LCM of 681,325,813,315,390 with Prime Factorization
| 3 | 681, 325, 813, 315, 390 |
| 5 | 227, 325, 271, 105, 130 |
| 13 | 227, 65, 271, 21, 26 |
| 227, 5, 271, 21, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 227 x 5 x 271 x 21 x 2 = 2519121150
Therefore, the lowest common multiple of 681,325,813,315,390 is 2519121150.
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.
681 x 325 x 813 x 315 x 390 = 22105288091250
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.
681 : 1, 3, 227, 681
325 : 1, 5, 13, 25, 65, 325
813 : 1, 3, 271, 813
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,325,813,315,390, is 1.
Now, the common factors can be found like this.
681:3x 227
325:5x 5x 13
813:3x 271
315:3x 3x 5x 7
390:2x 3x 5x 13
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 5x 5x 13 = 8775
Therefore, the value for common factors is 8775.
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 = 22105288091250/(1x8775)
LCM = 22105288091250/8775
LCM = 2519121150
Thus, we can understand that the LCM of 681,325,813,315,390 is 2519121150.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 681, 325, 813, 315, 390
1. What is the LCM of 681, 325, 813, 315, 390?
Answer: LCM of 681, 325, 813, 315, 390 is 2519121150.
2. How to calculate the LCM of 681, 325, 813, 315, 390?
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 681, 325, 813, 315, 390.
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}.