LCM of 515, 130, 676, 469, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 130, 676, 469, 574 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 515, 130, 676, 469, 574. So, keep reading to learn more.
Given numbers are 515,130,676,469,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,130,676,469,574 is 6694384060.
Find LCM of 515,130,676,469,574 with Prime Factorization
| 2 | 515, 130, 676, 469, 574 |
| 5 | 515, 65, 338, 469, 287 |
| 7 | 103, 13, 338, 469, 287 |
| 13 | 103, 13, 338, 67, 41 |
| 103, 1, 26, 67, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 103 x 1 x 26 x 67 x 41 = 6694384060
Therefore, the lowest common multiple of 515,130,676,469,574 is 6694384060.
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.
515 x 130 x 676 x 469 x 574 = 12183778989200
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.
515 : 1, 5, 103, 515
130 : 1, 2, 5, 10, 13, 26, 65, 130
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
469 : 1, 7, 67, 469
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,130,676,469,574, is 1.
Now, the common factors can be found like this.
515:5x 103
130:2x 5x 13
676:2x 2x 13x 13
469:7x 67
574:2x 7x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 7x 13 = 1820
Therefore, the value for common factors is 1820.
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 = 12183778989200/(1x1820)
LCM = 12183778989200/1820
LCM = 6694384060
Thus, we can understand that the LCM of 515,130,676,469,574 is 6694384060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 515, 130, 676, 469, 574
1. What is the LCM of 515, 130, 676, 469, 574?
Answer: LCM of 515, 130, 676, 469, 574 is 6694384060.
2. How to calculate the LCM of 515, 130, 676, 469, 574?
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 515, 130, 676, 469, 574.
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}.