Find the LCM of 581, 121, 590, 130 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 581, 121, 590, 130. So, keep reading to learn more.
Given numbers are 581,121,590,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 581,121,590,130 is 539208670.
Find LCM of 581,121,590,130 with Prime Factorization
2 | 581, 121, 590, 130 |
5 | 581, 121, 295, 65 |
581, 121, 59, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 581 x 121 x 59 x 13 = 539208670
Therefore, the lowest common multiple of 581,121,590,130 is 539208670.
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.
581 x 121 x 590 x 130 = 5392086700
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.
581 : 1, 7, 83, 581
121 : 1, 11, 121
590 : 1, 2, 5, 10, 59, 118, 295, 590
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,121,590,130, is 1.
Now, the common factors can be found like this.
581:7x 83
121:11x 11
590:2x 5x 59
130:2x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 5392086700/(1x10)
LCM = 5392086700/10
LCM = 539208670
Thus, we can understand that the LCM of 581,121,590,130 is 539208670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 581, 121, 590, 130?
Answer: LCM of 581, 121, 590, 130 is 539208670.
2. How to calculate the LCM of 581, 121, 590, 130?
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 581, 121, 590, 130.
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}.