Find the LCM of 682, 916, 562, 873, 811 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 682, 916, 562, 873, 811. So, keep reading to learn more.
Given numbers are 682,916,562,873,811
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,916,562,873,811 is 62142864804108.
Find LCM of 682,916,562,873,811 with Prime Factorization
2 | 682, 916, 562, 873, 811 |
341, 458, 281, 873, 811 |
Multiply the prime numbers at the bottom and the left side.
2 x 341 x 458 x 281 x 873 x 811 = 62142864804108
Therefore, the lowest common multiple of 682,916,562,873,811 is 62142864804108.
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.
682 x 916 x 562 x 873 x 811 = 248571459216432
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
916 : 1, 2, 4, 229, 458, 916
562 : 1, 2, 281, 562
873 : 1, 3, 9, 97, 291, 873
811 : 1, 811
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,916,562,873,811, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
916:2x 2x 229
562:2x 281
873:3x 3x 97
811:811
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 = 248571459216432/(1x4)
LCM = 248571459216432/4
LCM = 62142864804108
Thus, we can understand that the LCM of 682,916,562,873,811 is 62142864804108.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 916, 562, 873, 811?
Answer: LCM of 682, 916, 562, 873, 811 is 62142864804108.
2. How to calculate the LCM of 682, 916, 562, 873, 811?
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 682, 916, 562, 873, 811.
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}.