Find the LCM of 576, 920, 561, 659, 940 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 576, 920, 561, 659, 940. So, keep reading to learn more.
Given numbers are 576,920,561,659,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,920,561,659,940 is 383658834240.
Find LCM of 576,920,561,659,940 with Prime Factorization
2 | 576, 920, 561, 659, 940 |
2 | 288, 460, 561, 659, 470 |
2 | 144, 230, 561, 659, 235 |
3 | 72, 115, 561, 659, 235 |
5 | 24, 115, 187, 659, 235 |
24, 23, 187, 659, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 24 x 23 x 187 x 659 x 47 = 383658834240
Therefore, the lowest common multiple of 576,920,561,659,940 is 383658834240.
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.
576 x 920 x 561 x 659 x 940 = 184156240435200
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
561 : 1, 3, 11, 17, 33, 51, 187, 561
659 : 1, 659
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,920,561,659,940, is 1.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
920:2x 2x 2x 5x 23
561:3x 11x 17
659:659
940:2x 2x 5x 47
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 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 184156240435200/(1x480)
LCM = 184156240435200/480
LCM = 383658834240
Thus, we can understand that the LCM of 576,920,561,659,940 is 383658834240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 576, 920, 561, 659, 940?
Answer: LCM of 576, 920, 561, 659, 940 is 383658834240.
2. How to calculate the LCM of 576, 920, 561, 659, 940?
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 576, 920, 561, 659, 940.
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}.