Find the LCM of 813, 722, 858, 695, 494 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 813, 722, 858, 695, 494. So, keep reading to learn more.
Given numbers are 813,722,858,695,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,722,858,695,494 is 58337603610.
Find LCM of 813,722,858,695,494 with Prime Factorization
2 | 813, 722, 858, 695, 494 |
3 | 813, 361, 429, 695, 247 |
13 | 271, 361, 143, 695, 247 |
19 | 271, 361, 11, 695, 19 |
271, 1, 11, 695, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 271 x 1 x 11 x 695 x 19 = 58337603610
Therefore, the lowest common multiple of 813,722,858,695,494 is 58337603610.
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.
813 x 722 x 858 x 695 x 494 = 172912657100040
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.
813 : 1, 3, 271, 813
722 : 1, 2, 19, 38, 361, 722
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
695 : 1, 5, 139, 695
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,722,858,695,494, is 1.
Now, the common factors can be found like this.
813:3x 271
722:2x 19x 19
858:2x 3x 11x 13
695:5x 139
494:2x 13x 19
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 3x 13x 19 = 2964
Therefore, the value for common factors is 2964.
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 = 172912657100040/(1x2964)
LCM = 172912657100040/2964
LCM = 58337603610
Thus, we can understand that the LCM of 813,722,858,695,494 is 58337603610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 813, 722, 858, 695, 494?
Answer: LCM of 813, 722, 858, 695, 494 is 58337603610.
2. How to calculate the LCM of 813, 722, 858, 695, 494?
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 813, 722, 858, 695, 494.
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}.