Find the LCM of 718, 429, 742, 581, 259 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 718, 429, 742, 581, 259. So, keep reading to learn more.
Given numbers are 718,429,742,581,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,429,742,581,259 is 350942093502.
Find LCM of 718,429,742,581,259 with Prime Factorization
2 | 718, 429, 742, 581, 259 |
7 | 359, 429, 371, 581, 259 |
359, 429, 53, 83, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 359 x 429 x 53 x 83 x 37 = 350942093502
Therefore, the lowest common multiple of 718,429,742,581,259 is 350942093502.
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.
718 x 429 x 742 x 581 x 259 = 34392325163196
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.
718 : 1, 2, 359, 718
429 : 1, 3, 11, 13, 33, 39, 143, 429
742 : 1, 2, 7, 14, 53, 106, 371, 742
581 : 1, 7, 83, 581
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,429,742,581,259, is 1.
Now, the common factors can be found like this.
718:2x 359
429:3x 11x 13
742:2x 7x 53
581:7x 83
259:7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7 = 98
Therefore, the value for common factors is 98.
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 = 34392325163196/(1x98)
LCM = 34392325163196/98
LCM = 350942093502
Thus, we can understand that the LCM of 718,429,742,581,259 is 350942093502.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 718, 429, 742, 581, 259?
Answer: LCM of 718, 429, 742, 581, 259 is 350942093502.
2. How to calculate the LCM of 718, 429, 742, 581, 259?
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 718, 429, 742, 581, 259.
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}.