Find the LCM of 571, 291, 980, 940, 574 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 571, 291, 980, 940, 574. So, keep reading to learn more.
Given numbers are 571,291,980,940,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 571,291,980,940,574 is 313788402060.
Find LCM of 571,291,980,940,574 with Prime Factorization
2 | 571, 291, 980, 940, 574 |
2 | 571, 291, 490, 470, 287 |
5 | 571, 291, 245, 235, 287 |
7 | 571, 291, 49, 47, 287 |
571, 291, 7, 47, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 571 x 291 x 7 x 47 x 41 = 313788402060
Therefore, the lowest common multiple of 571,291,980,940,574 is 313788402060.
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.
571 x 291 x 980 x 940 x 574 = 87860752576800
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.
571 : 1, 571
291 : 1, 3, 97, 291
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,291,980,940,574, is 1.
Now, the common factors can be found like this.
571:571
291:3x 97
980:2x 2x 5x 7x 7
940:2x 2x 5x 47
574:2x 7x 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 2x 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 87860752576800/(1x280)
LCM = 87860752576800/280
LCM = 313788402060
Thus, we can understand that the LCM of 571,291,980,940,574 is 313788402060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 571, 291, 980, 940, 574?
Answer: LCM of 571, 291, 980, 940, 574 is 313788402060.
2. How to calculate the LCM of 571, 291, 980, 940, 574?
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 571, 291, 980, 940, 574.
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}.