Find the LCM of 880, 913, 473, 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 880, 913, 473, 704. So, keep reading to learn more.
Given numbers are 880,913,473,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,913,473,704 is 12562880.
Find LCM of 880,913,473,704 with Prime Factorization
2 | 880, 913, 473, 704 |
2 | 440, 913, 473, 352 |
2 | 220, 913, 473, 176 |
2 | 110, 913, 473, 88 |
11 | 55, 913, 473, 44 |
5, 83, 43, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 5 x 83 x 43 x 4 = 12562880
Therefore, the lowest common multiple of 880,913,473,704 is 12562880.
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.
880 x 913 x 473 x 704 = 267539092480
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
913 : 1, 11, 83, 913
473 : 1, 11, 43, 473
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,913,473,704, is 11.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
913:11x 83
473:11x 43
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 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 267539092480/(11x1936)
LCM = 267539092480/21296
LCM = 12562880
Thus, we can understand that the LCM of 880,913,473,704 is 12562880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 880, 913, 473, 704?
Answer: LCM of 880, 913, 473, 704 is 12562880.
2. How to calculate the LCM of 880, 913, 473, 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 880, 913, 473, 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}.