Find the LCM of 815, 308, 276, 667, 469 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 815, 308, 276, 667, 469. So, keep reading to learn more.
Given numbers are 815,308,276,667,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,308,276,667,469 is 33653498340.
Find LCM of 815,308,276,667,469 with Prime Factorization
2 | 815, 308, 276, 667, 469 |
2 | 815, 154, 138, 667, 469 |
7 | 815, 77, 69, 667, 469 |
23 | 815, 11, 69, 667, 67 |
815, 11, 3, 29, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 815 x 11 x 3 x 29 x 67 = 33653498340
Therefore, the lowest common multiple of 815,308,276,667,469 is 33653498340.
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.
815 x 308 x 276 x 667 x 469 = 21672852930960
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.
815 : 1, 5, 163, 815
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
667 : 1, 23, 29, 667
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,308,276,667,469, is 1.
Now, the common factors can be found like this.
815:5x 163
308:2x 2x 7x 11
276:2x 2x 3x 23
667:23x 29
469:7x 67
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 7x 23 = 644
Therefore, the value for common factors is 644.
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 = 21672852930960/(1x644)
LCM = 21672852930960/644
LCM = 33653498340
Thus, we can understand that the LCM of 815,308,276,667,469 is 33653498340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 815, 308, 276, 667, 469?
Answer: LCM of 815, 308, 276, 667, 469 is 33653498340.
2. How to calculate the LCM of 815, 308, 276, 667, 469?
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 815, 308, 276, 667, 469.
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}.