Find the LCM of 726, 950, 771, 598 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 726, 950, 771, 598. So, keep reading to learn more.
Given numbers are 726,950,771,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,950,771,598 is 26499308550.
Find LCM of 726,950,771,598 with Prime Factorization
2 | 726, 950, 771, 598 |
3 | 363, 475, 771, 299 |
121, 475, 257, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 121 x 475 x 257 x 299 = 26499308550
Therefore, the lowest common multiple of 726,950,771,598 is 26499308550.
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.
726 x 950 x 771 x 598 = 317991702600
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
771 : 1, 3, 257, 771
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,950,771,598, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
950:2x 5x 5x 19
771:3x 257
598:2x 13x 23
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 3 = 12
Therefore, the value for common factors is 12.
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 = 317991702600/(1x12)
LCM = 317991702600/12
LCM = 26499308550
Thus, we can understand that the LCM of 726,950,771,598 is 26499308550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 726, 950, 771, 598?
Answer: LCM of 726, 950, 771, 598 is 26499308550.
2. How to calculate the LCM of 726, 950, 771, 598?
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 726, 950, 771, 598.
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}.