Find the LCM of 328, 713, 124, 586, 372 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 328, 713, 124, 586, 372. So, keep reading to learn more.
Given numbers are 328,713,124,586,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,713,124,586,372 is 205566456.
Find LCM of 328,713,124,586,372 with Prime Factorization
2 | 328, 713, 124, 586, 372 |
2 | 164, 713, 62, 293, 186 |
31 | 82, 713, 31, 293, 93 |
82, 23, 1, 293, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 82 x 23 x 1 x 293 x 3 = 205566456
Therefore, the lowest common multiple of 328,713,124,586,372 is 205566456.
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.
328 x 713 x 124 x 586 x 372 = 6321579654912
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
713 : 1, 23, 31, 713
124 : 1, 2, 4, 31, 62, 124
586 : 1, 2, 293, 586
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,713,124,586,372, is 1.
Now, the common factors can be found like this.
328:2x 2x 2x 41
713:23x 31
124:2x 2x 31
586:2x 293
372:2x 2x 3x 31
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 31x 31 = 30752
Therefore, the value for common factors is 30752.
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 = 6321579654912/(1x30752)
LCM = 6321579654912/30752
LCM = 205566456
Thus, we can understand that the LCM of 328,713,124,586,372 is 205566456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 328, 713, 124, 586, 372?
Answer: LCM of 328, 713, 124, 586, 372 is 205566456.
2. How to calculate the LCM of 328, 713, 124, 586, 372?
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 328, 713, 124, 586, 372.
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}.