Find the LCM of 820, 215, 574, 381, 665 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 820, 215, 574, 381, 665. So, keep reading to learn more.
Given numbers are 820,215,574,381,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,215,574,381,665 is 1786729980.
Find LCM of 820,215,574,381,665 with Prime Factorization
2 | 820, 215, 574, 381, 665 |
5 | 410, 215, 287, 381, 665 |
7 | 82, 43, 287, 381, 133 |
41 | 82, 43, 41, 381, 19 |
2, 43, 1, 381, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 41 x 2 x 43 x 1 x 381 x 19 = 1786729980
Therefore, the lowest common multiple of 820,215,574,381,665 is 1786729980.
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.
820 x 215 x 574 x 381 x 665 = 25639575213000
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
215 : 1, 5, 43, 215
574 : 1, 2, 7, 14, 41, 82, 287, 574
381 : 1, 3, 127, 381
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,215,574,381,665, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
215:5x 43
574:2x 7x 41
381:3x 127
665:5x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7x 41 = 14350
Therefore, the value for common factors is 14350.
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 = 25639575213000/(1x14350)
LCM = 25639575213000/14350
LCM = 1786729980
Thus, we can understand that the LCM of 820,215,574,381,665 is 1786729980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 820, 215, 574, 381, 665?
Answer: LCM of 820, 215, 574, 381, 665 is 1786729980.
2. How to calculate the LCM of 820, 215, 574, 381, 665?
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 820, 215, 574, 381, 665.
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}.