Find the LCM of 557, 370, 226, 484, 704 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 557, 370, 226, 484, 704. So, keep reading to learn more.
Given numbers are 557,370,226,484,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,370,226,484,704 is 90171794240.
Find LCM of 557,370,226,484,704 with Prime Factorization
2 | 557, 370, 226, 484, 704 |
2 | 557, 185, 113, 242, 352 |
11 | 557, 185, 113, 121, 176 |
557, 185, 113, 11, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 557 x 185 x 113 x 11 x 16 = 90171794240
Therefore, the lowest common multiple of 557,370,226,484,704 is 90171794240.
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.
557 x 370 x 226 x 484 x 704 = 15870235786240
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.
557 : 1, 557
370 : 1, 2, 5, 10, 37, 74, 185, 370
226 : 1, 2, 113, 226
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,370,226,484,704, is 1.
Now, the common factors can be found like this.
557:557
370:2x 5x 37
226:2x 113
484:2x 2x 11x 11
704:2x 2x 2x 2x 2x 2x 11
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 11 = 176
Therefore, the value for common factors is 176.
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 = 15870235786240/(1x176)
LCM = 15870235786240/176
LCM = 90171794240
Thus, we can understand that the LCM of 557,370,226,484,704 is 90171794240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 557, 370, 226, 484, 704?
Answer: LCM of 557, 370, 226, 484, 704 is 90171794240.
2. How to calculate the LCM of 557, 370, 226, 484, 704?
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 557, 370, 226, 484, 704.
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}.