Find the LCM of 585, 344, 787, 951, 960 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 585, 344, 787, 951, 960. So, keep reading to learn more.
Given numbers are 585,344,787,951,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,344,787,951,960 is 401641231680.
Find LCM of 585,344,787,951,960 with Prime Factorization
2 | 585, 344, 787, 951, 960 |
2 | 585, 172, 787, 951, 480 |
2 | 585, 86, 787, 951, 240 |
3 | 585, 43, 787, 951, 120 |
5 | 195, 43, 787, 317, 40 |
39, 43, 787, 317, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 39 x 43 x 787 x 317 x 8 = 401641231680
Therefore, the lowest common multiple of 585,344,787,951,960 is 401641231680.
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.
585 x 344 x 787 x 951 x 960 = 144590843404800
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
344 : 1, 2, 4, 8, 43, 86, 172, 344
787 : 1, 787
951 : 1, 3, 317, 951
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,344,787,951,960, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
344:2x 2x 2x 43
787:787
951:3x 317
960:2x 2x 2x 2x 2x 2x 3x 5
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 144590843404800/(1x360)
LCM = 144590843404800/360
LCM = 401641231680
Thus, we can understand that the LCM of 585,344,787,951,960 is 401641231680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 585, 344, 787, 951, 960?
Answer: LCM of 585, 344, 787, 951, 960 is 401641231680.
2. How to calculate the LCM of 585, 344, 787, 951, 960?
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 585, 344, 787, 951, 960.
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}.