Find the LCM of 565, 787, 574, 328, 902 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 565, 787, 574, 328, 902. So, keep reading to learn more.
Given numbers are 565,787,574,328,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,787,574,328,902 is 11230206680.
Find LCM of 565,787,574,328,902 with Prime Factorization
2 | 565, 787, 574, 328, 902 |
41 | 565, 787, 287, 164, 451 |
565, 787, 7, 4, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 41 x 565 x 787 x 7 x 4 x 11 = 11230206680
Therefore, the lowest common multiple of 565,787,574,328,902 is 11230206680.
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.
565 x 787 x 574 x 328 x 902 = 75511909716320
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.
565 : 1, 5, 113, 565
787 : 1, 787
574 : 1, 2, 7, 14, 41, 82, 287, 574
328 : 1, 2, 4, 8, 41, 82, 164, 328
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,787,574,328,902, is 1.
Now, the common factors can be found like this.
565:5x 113
787:787
574:2x 7x 41
328:2x 2x 2x 41
902:2x 11x 41
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 41x 41 = 6724
Therefore, the value for common factors is 6724.
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 = 75511909716320/(1x6724)
LCM = 75511909716320/6724
LCM = 11230206680
Thus, we can understand that the LCM of 565,787,574,328,902 is 11230206680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 565, 787, 574, 328, 902?
Answer: LCM of 565, 787, 574, 328, 902 is 11230206680.
2. How to calculate the LCM of 565, 787, 574, 328, 902?
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 565, 787, 574, 328, 902.
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}.