Find the LCM of 319, 656, 902, 485, 352 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 319, 656, 902, 485, 352. So, keep reading to learn more.
Given numbers are 319,656,902,485,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,656,902,485,352 is 202986080.
Find LCM of 319,656,902,485,352 with Prime Factorization
2 | 319, 656, 902, 485, 352 |
2 | 319, 328, 451, 485, 176 |
2 | 319, 164, 451, 485, 88 |
2 | 319, 82, 451, 485, 44 |
11 | 319, 41, 451, 485, 22 |
41 | 29, 41, 41, 485, 2 |
29, 1, 1, 485, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 41 x 29 x 1 x 1 x 485 x 2 = 202986080
Therefore, the lowest common multiple of 319,656,902,485,352 is 202986080.
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.
319 x 656 x 902 x 485 x 352 = 32224446172160
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.
319 : 1, 11, 29, 319
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
902 : 1, 2, 11, 22, 41, 82, 451, 902
485 : 1, 5, 97, 485
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,656,902,485,352, is 1.
Now, the common factors can be found like this.
319:11x 29
656:2x 2x 2x 2x 41
902:2x 11x 41
485:5x 97
352:2x 2x 2x 2x 2x 11
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 2x 2x 2x 11x 11x 41 = 158752
Therefore, the value for common factors is 158752.
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 = 32224446172160/(1x158752)
LCM = 32224446172160/158752
LCM = 202986080
Thus, we can understand that the LCM of 319,656,902,485,352 is 202986080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 656, 902, 485, 352?
Answer: LCM of 319, 656, 902, 485, 352 is 202986080.
2. How to calculate the LCM of 319, 656, 902, 485, 352?
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 319, 656, 902, 485, 352.
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}.