LCM of 586, 265, 195, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 265, 195, 605 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 586, 265, 195, 605. So, keep reading to learn more.
Given numbers are 586,265,195,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,265,195,605 is 732813510.
Find LCM of 586,265,195,605 with Prime Factorization
| 5 | 586, 265, 195, 605 |
| 586, 53, 39, 121 |
Multiply the prime numbers at the bottom and the left side.
5 x 586 x 53 x 39 x 121 = 732813510
Therefore, the lowest common multiple of 586,265,195,605 is 732813510.
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.
586 x 265 x 195 x 605 = 18320337750
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.
586 : 1, 2, 293, 586
265 : 1, 5, 53, 265
195 : 1, 3, 5, 13, 15, 39, 65, 195
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,265,195,605, is 1.
Now, the common factors can be found like this.
586:2x 293
265:5x 53
195:3x 5x 13
605:5x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 18320337750/(1x25)
LCM = 18320337750/25
LCM = 732813510
Thus, we can understand that the LCM of 586,265,195,605 is 732813510.
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FAQs on LCM of 586, 265, 195, 605
1. What is the LCM of 586, 265, 195, 605?
Answer: LCM of 586, 265, 195, 605 is 732813510.
2. How to calculate the LCM of 586, 265, 195, 605?
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 586, 265, 195, 605.
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}.