Find the LCM of 155, 226, 718, 758, 813 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 155, 226, 718, 758, 813. So, keep reading to learn more.
Given numbers are 155,226,718,758,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,226,718,758,813 is 3874934282790.
Find LCM of 155,226,718,758,813 with Prime Factorization
2 | 155, 226, 718, 758, 813 |
155, 113, 359, 379, 813 |
Multiply the prime numbers at the bottom and the left side.
2 x 155 x 113 x 359 x 379 x 813 = 3874934282790
Therefore, the lowest common multiple of 155,226,718,758,813 is 3874934282790.
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.
155 x 226 x 718 x 758 x 813 = 15499737131160
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.
155 : 1, 5, 31, 155
226 : 1, 2, 113, 226
718 : 1, 2, 359, 718
758 : 1, 2, 379, 758
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,226,718,758,813, is 1.
Now, the common factors can be found like this.
155:5x 31
226:2x 113
718:2x 359
758:2x 379
813:3x 271
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 = 15499737131160/(1x4)
LCM = 15499737131160/4
LCM = 3874934282790
Thus, we can understand that the LCM of 155,226,718,758,813 is 3874934282790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 155, 226, 718, 758, 813?
Answer: LCM of 155, 226, 718, 758, 813 is 3874934282790.
2. How to calculate the LCM of 155, 226, 718, 758, 813?
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 155, 226, 718, 758, 813.
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}.