Find the LCM of 785, 484, 214, 570 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 785, 484, 214, 570. So, keep reading to learn more.
Given numbers are 785,484,214,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,484,214,570 is 2317254060.
Find LCM of 785,484,214,570 with Prime Factorization
2 | 785, 484, 214, 570 |
5 | 785, 242, 107, 285 |
157, 242, 107, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 157 x 242 x 107 x 57 = 2317254060
Therefore, the lowest common multiple of 785,484,214,570 is 2317254060.
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.
785 x 484 x 214 x 570 = 46345081200
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.
785 : 1, 5, 157, 785
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
214 : 1, 2, 107, 214
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,484,214,570, is 1.
Now, the common factors can be found like this.
785:5x 157
484:2x 2x 11x 11
214:2x 107
570:2x 3x 5x 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 2x 5 = 20
Therefore, the value for common factors is 20.
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 = 46345081200/(1x20)
LCM = 46345081200/20
LCM = 2317254060
Thus, we can understand that the LCM of 785,484,214,570 is 2317254060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 484, 214, 570?
Answer: LCM of 785, 484, 214, 570 is 2317254060.
2. How to calculate the LCM of 785, 484, 214, 570?
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 785, 484, 214, 570.
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}.