Find the LCM of 806, 689, 754, 312 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 806, 689, 754, 312. So, keep reading to learn more.
Given numbers are 806,689,754,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,689,754,312 is 14865864.
Find LCM of 806,689,754,312 with Prime Factorization
2 | 806, 689, 754, 312 |
13 | 403, 689, 377, 156 |
31, 53, 29, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 31 x 53 x 29 x 12 = 14865864
Therefore, the lowest common multiple of 806,689,754,312 is 14865864.
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.
806 x 689 x 754 x 312 = 130641212832
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
689 : 1, 13, 53, 689
754 : 1, 2, 13, 26, 29, 58, 377, 754
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,689,754,312, is 13.
Now, the common factors can be found like this.
806:2x 13x 31
689:13x 53
754:2x 13x 29
312:2x 2x 2x 3x 13
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 13x 13 = 676
Therefore, the value for common factors is 676.
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 = 130641212832/(13x676)
LCM = 130641212832/8788
LCM = 14865864
Thus, we can understand that the LCM of 806,689,754,312 is 14865864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 806, 689, 754, 312?
Answer: LCM of 806, 689, 754, 312 is 14865864.
2. How to calculate the LCM of 806, 689, 754, 312?
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 806, 689, 754, 312.
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}.