Find the LCM of 568, 561, 920, 210, 715 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 568, 561, 920, 210, 715. So, keep reading to learn more.
Given numbers are 568,561,920,210,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,561,920,210,715 is 3334651320.
Find LCM of 568,561,920,210,715 with Prime Factorization
2 | 568, 561, 920, 210, 715 |
2 | 284, 561, 460, 105, 715 |
2 | 142, 561, 230, 105, 715 |
3 | 71, 561, 115, 105, 715 |
5 | 71, 187, 115, 35, 715 |
11 | 71, 187, 23, 7, 143 |
71, 17, 23, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 11 x 71 x 17 x 23 x 7 x 13 = 3334651320
Therefore, the lowest common multiple of 568,561,920,210,715 is 3334651320.
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.
568 x 561 x 920 x 210 x 715 = 44017397424000
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
561 : 1, 3, 11, 17, 33, 51, 187, 561
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,561,920,210,715, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
561:3x 11x 17
920:2x 2x 2x 5x 23
210:2x 3x 5x 7
715:5x 11x 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 2x 2x 2x 3x 5x 5x 11 = 13200
Therefore, the value for common factors is 13200.
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 = 44017397424000/(1x13200)
LCM = 44017397424000/13200
LCM = 3334651320
Thus, we can understand that the LCM of 568,561,920,210,715 is 3334651320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 568, 561, 920, 210, 715?
Answer: LCM of 568, 561, 920, 210, 715 is 3334651320.
2. How to calculate the LCM of 568, 561, 920, 210, 715?
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 568, 561, 920, 210, 715.
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}.