Find the LCM of 569, 470, 950, 952, 309 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 569, 470, 950, 952, 309. So, keep reading to learn more.
Given numbers are 569,470,950,952,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,470,950,952,309 is 3736794041400.
Find LCM of 569,470,950,952,309 with Prime Factorization
2 | 569, 470, 950, 952, 309 |
5 | 569, 235, 475, 476, 309 |
569, 47, 95, 476, 309 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 569 x 47 x 95 x 476 x 309 = 3736794041400
Therefore, the lowest common multiple of 569,470,950,952,309 is 3736794041400.
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.
569 x 470 x 950 x 952 x 309 = 74735880828000
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.
569 : 1, 569
470 : 1, 2, 5, 10, 47, 94, 235, 470
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,470,950,952,309, is 1.
Now, the common factors can be found like this.
569:569
470:2x 5x 47
950:2x 5x 5x 19
952:2x 2x 2x 7x 17
309:3x 103
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 5 = 20
Therefore, the value for common factors is 20.
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 = 74735880828000/(1x20)
LCM = 74735880828000/20
LCM = 3736794041400
Thus, we can understand that the LCM of 569,470,950,952,309 is 3736794041400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 569, 470, 950, 952, 309?
Answer: LCM of 569, 470, 950, 952, 309 is 3736794041400.
2. How to calculate the LCM of 569, 470, 950, 952, 309?
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 569, 470, 950, 952, 309.
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}.