LCM of 671, 506, 408, 309, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 506, 408, 309, 415 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 671, 506, 408, 309, 415. So, keep reading to learn more.
Given numbers are 671,506,408,309,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,506,408,309,415 is 269150902680.
Find LCM of 671,506,408,309,415 with Prime Factorization
| 2 | 671, 506, 408, 309, 415 |
| 3 | 671, 253, 204, 309, 415 |
| 11 | 671, 253, 68, 103, 415 |
| 61, 23, 68, 103, 415 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 61 x 23 x 68 x 103 x 415 = 269150902680
Therefore, the lowest common multiple of 671,506,408,309,415 is 269150902680.
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.
671 x 506 x 408 x 309 x 415 = 17763959576880
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.
671 : 1, 11, 61, 671
506 : 1, 2, 11, 22, 23, 46, 253, 506
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
309 : 1, 3, 103, 309
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,506,408,309,415, is 1.
Now, the common factors can be found like this.
671:11x 61
506:2x 11x 23
408:2x 2x 2x 3x 17
309:3x 103
415:5x 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 11 = 66
Therefore, the value for common factors is 66.
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 = 17763959576880/(1x66)
LCM = 17763959576880/66
LCM = 269150902680
Thus, we can understand that the LCM of 671,506,408,309,415 is 269150902680.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 671, 506, 408, 309, 415
1. What is the LCM of 671, 506, 408, 309, 415?
Answer: LCM of 671, 506, 408, 309, 415 is 269150902680.
2. How to calculate the LCM of 671, 506, 408, 309, 415?
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 671, 506, 408, 309, 415.
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}.