Find the LCM of 275, 655, 814, 388, 570 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 275, 655, 814, 388, 570. So, keep reading to learn more.
Given numbers are 275,655,814,388,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 275,655,814,388,570 is 29478969300.
Find LCM of 275,655,814,388,570 with Prime Factorization
2 | 275, 655, 814, 388, 570 |
5 | 275, 655, 407, 194, 285 |
11 | 55, 131, 407, 194, 57 |
5, 131, 37, 194, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 5 x 131 x 37 x 194 x 57 = 29478969300
Therefore, the lowest common multiple of 275,655,814,388,570 is 29478969300.
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.
275 x 655 x 814 x 388 x 570 = 32426866230000
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.
275 : 1, 5, 11, 25, 55, 275
655 : 1, 5, 131, 655
814 : 1, 2, 11, 22, 37, 74, 407, 814
388 : 1, 2, 4, 97, 194, 388
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,655,814,388,570, is 1.
Now, the common factors can be found like this.
275:5x 5x 11
655:5x 131
814:2x 11x 37
388:2x 2x 97
570:2x 3x 5x 19
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 5x 5x 11 = 1100
Therefore, the value for common factors is 1100.
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 = 32426866230000/(1x1100)
LCM = 32426866230000/1100
LCM = 29478969300
Thus, we can understand that the LCM of 275,655,814,388,570 is 29478969300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 275, 655, 814, 388, 570?
Answer: LCM of 275, 655, 814, 388, 570 is 29478969300.
2. How to calculate the LCM of 275, 655, 814, 388, 570?
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 275, 655, 814, 388, 570.
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}.