Find the LCM of 586, 528, 486, 340, 730 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, 528, 486, 340, 730. So, keep reading to learn more.
Given numbers are 586,528,486,340,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,528,486,340,730 is 77755003920.
Find LCM of 586,528,486,340,730 with Prime Factorization
2 | 586, 528, 486, 340, 730 |
2 | 293, 264, 243, 170, 365 |
3 | 293, 132, 243, 85, 365 |
5 | 293, 44, 81, 85, 365 |
293, 44, 81, 17, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 293 x 44 x 81 x 17 x 73 = 77755003920
Therefore, the lowest common multiple of 586,528,486,340,730 is 77755003920.
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 528 x 486 x 340 x 730 = 37322401881600
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
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
730 : 1, 2, 5, 10, 73, 146, 365, 730
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,528,486,340,730, is 2.
Now, the common factors can be found like this.
586:2x 293
528:2x 2x 2x 2x 3x 11
486:2x 3x 3x 3x 3x 3
340:2x 2x 5x 17
730:2x 5x 73
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 2x 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 37322401881600/(2x240)
LCM = 37322401881600/480
LCM = 77755003920
Thus, we can understand that the LCM of 586,528,486,340,730 is 77755003920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 586, 528, 486, 340, 730?
Answer: LCM of 586, 528, 486, 340, 730 is 77755003920.
2. How to calculate the LCM of 586, 528, 486, 340, 730?
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, 528, 486, 340, 730.
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}.