Find the LCM of 338, 826, 943, 730 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 338, 826, 943, 730. So, keep reading to learn more.
Given numbers are 338,826,943,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,826,943,730 is 48047556830.
Find LCM of 338,826,943,730 with Prime Factorization
2 | 338, 826, 943, 730 |
169, 413, 943, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 169 x 413 x 943 x 365 = 48047556830
Therefore, the lowest common multiple of 338,826,943,730 is 48047556830.
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.
338 x 826 x 943 x 730 = 192190227320
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.
338 : 1, 2, 13, 26, 169, 338
826 : 1, 2, 7, 14, 59, 118, 413, 826
943 : 1, 23, 41, 943
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,826,943,730, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
826:2x 7x 59
943:23x 41
730:2x 5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 192190227320/(1x4)
LCM = 192190227320/4
LCM = 48047556830
Thus, we can understand that the LCM of 338,826,943,730 is 48047556830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 826, 943, 730?
Answer: LCM of 338, 826, 943, 730 is 48047556830.
2. How to calculate the LCM of 338, 826, 943, 730?
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 338, 826, 943, 730.
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}.