Find the LCM of 315, 814, 442, 184 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 315, 814, 442, 184. So, keep reading to learn more.
Given numbers are 315,814,442,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,814,442,184 is 5213328120.
Find LCM of 315,814,442,184 with Prime Factorization
2 | 315, 814, 442, 184 |
315, 407, 221, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 315 x 407 x 221 x 92 = 5213328120
Therefore, the lowest common multiple of 315,814,442,184 is 5213328120.
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.
315 x 814 x 442 x 184 = 20853312480
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
814 : 1, 2, 11, 22, 37, 74, 407, 814
442 : 1, 2, 13, 17, 26, 34, 221, 442
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,814,442,184, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
814:2x 11x 37
442:2x 13x 17
184:2x 2x 2x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 20853312480/(1x4)
LCM = 20853312480/4
LCM = 5213328120
Thus, we can understand that the LCM of 315,814,442,184 is 5213328120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 814, 442, 184?
Answer: LCM of 315, 814, 442, 184 is 5213328120.
2. How to calculate the LCM of 315, 814, 442, 184?
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 315, 814, 442, 184.
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}.