Find the LCM of 568, 745, 872, 115, 478 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, 745, 872, 115, 478. So, keep reading to learn more.
Given numbers are 568,745,872,115,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,745,872,115,478 is 253546046680.
Find LCM of 568,745,872,115,478 with Prime Factorization
2 | 568, 745, 872, 115, 478 |
2 | 284, 745, 436, 115, 239 |
2 | 142, 745, 218, 115, 239 |
5 | 71, 745, 109, 115, 239 |
71, 149, 109, 23, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 71 x 149 x 109 x 23 x 239 = 253546046680
Therefore, the lowest common multiple of 568,745,872,115,478 is 253546046680.
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 745 x 872 x 115 x 478 = 20283683734400
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
745 : 1, 5, 149, 745
872 : 1, 2, 4, 8, 109, 218, 436, 872
115 : 1, 5, 23, 115
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,745,872,115,478, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
745:5x 149
872:2x 2x 2x 109
115:5x 23
478:2x 239
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 5 = 80
Therefore, the value for common factors is 80.
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 = 20283683734400/(1x80)
LCM = 20283683734400/80
LCM = 253546046680
Thus, we can understand that the LCM of 568,745,872,115,478 is 253546046680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 568, 745, 872, 115, 478?
Answer: LCM of 568, 745, 872, 115, 478 is 253546046680.
2. How to calculate the LCM of 568, 745, 872, 115, 478?
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, 745, 872, 115, 478.
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}.