Find the LCM of 586, 558, 570, 465, 521 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, 558, 570, 465, 521. So, keep reading to learn more.
Given numbers are 586,558,570,465,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,558,570,465,521 is 8092135530.
Find LCM of 586,558,570,465,521 with Prime Factorization
2 | 586, 558, 570, 465, 521 |
3 | 293, 279, 285, 465, 521 |
5 | 293, 93, 95, 155, 521 |
31 | 293, 93, 19, 31, 521 |
293, 3, 19, 1, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 293 x 3 x 19 x 1 x 521 = 8092135530
Therefore, the lowest common multiple of 586,558,570,465,521 is 8092135530.
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 558 x 570 x 465 x 521 = 45154116257400
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
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
465 : 1, 3, 5, 15, 31, 93, 155, 465
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,558,570,465,521, is 1.
Now, the common factors can be found like this.
586:2x 293
558:2x 3x 3x 31
570:2x 3x 5x 19
465:3x 5x 31
521:521
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 3x 3x 5x 31 = 5580
Therefore, the value for common factors is 5580.
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 = 45154116257400/(1x5580)
LCM = 45154116257400/5580
LCM = 8092135530
Thus, we can understand that the LCM of 586,558,570,465,521 is 8092135530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 558, 570, 465, 521?
Answer: LCM of 586, 558, 570, 465, 521 is 8092135530.
2. How to calculate the LCM of 586, 558, 570, 465, 521?
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, 558, 570, 465, 521.
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}.