Find the LCM of 589, 760, 693, 214 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 589, 760, 693, 214. So, keep reading to learn more.
Given numbers are 589,760,693,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,760,693,214 is 1746997560.
Find LCM of 589,760,693,214 with Prime Factorization
2 | 589, 760, 693, 214 |
19 | 589, 380, 693, 107 |
31, 20, 693, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 31 x 20 x 693 x 107 = 1746997560
Therefore, the lowest common multiple of 589,760,693,214 is 1746997560.
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.
589 x 760 x 693 x 214 = 66385907280
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.
589 : 1, 19, 31, 589
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,760,693,214, is 1.
Now, the common factors can be found like this.
589:19x 31
760:2x 2x 2x 5x 19
693:3x 3x 7x 11
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 66385907280/(1x38)
LCM = 66385907280/38
LCM = 1746997560
Thus, we can understand that the LCM of 589,760,693,214 is 1746997560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 589, 760, 693, 214?
Answer: LCM of 589, 760, 693, 214 is 1746997560.
2. How to calculate the LCM of 589, 760, 693, 214?
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 589, 760, 693, 214.
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}.