Find the LCM of 381, 879, 420, 882 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 381, 879, 420, 882. So, keep reading to learn more.
Given numbers are 381,879,420,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,879,420,882 is 328201020.
Find LCM of 381,879,420,882 with Prime Factorization
2 | 381, 879, 420, 882 |
3 | 381, 879, 210, 441 |
7 | 127, 293, 70, 147 |
127, 293, 10, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 127 x 293 x 10 x 21 = 328201020
Therefore, the lowest common multiple of 381,879,420,882 is 328201020.
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.
381 x 879 x 420 x 882 = 124059985560
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.
381 : 1, 3, 127, 381
879 : 1, 3, 293, 879
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,879,420,882, is 3.
Now, the common factors can be found like this.
381:3x 127
879:3x 293
420:2x 2x 3x 5x 7
882:2x 3x 3x 7x 7
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 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 124059985560/(3x126)
LCM = 124059985560/378
LCM = 328201020
Thus, we can understand that the LCM of 381,879,420,882 is 328201020.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 879, 420, 882?
Answer: LCM of 381, 879, 420, 882 is 328201020.
2. How to calculate the LCM of 381, 879, 420, 882?
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 381, 879, 420, 882.
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}.