Find the LCM of 676, 940, 974, 722, 309 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 676, 940, 974, 722, 309. So, keep reading to learn more.
Given numbers are 676,940,974,722,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,940,974,722,309 is 8629968306180.
Find LCM of 676,940,974,722,309 with Prime Factorization
2 | 676, 940, 974, 722, 309 |
2 | 338, 470, 487, 361, 309 |
169, 235, 487, 361, 309 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 169 x 235 x 487 x 361 x 309 = 8629968306180
Therefore, the lowest common multiple of 676,940,974,722,309 is 8629968306180.
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.
676 x 940 x 974 x 722 x 309 = 138079492898880
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
974 : 1, 2, 487, 974
722 : 1, 2, 19, 38, 361, 722
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,940,974,722,309, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
940:2x 2x 5x 47
974:2x 487
722:2x 19x 19
309:3x 103
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 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 138079492898880/(1x16)
LCM = 138079492898880/16
LCM = 8629968306180
Thus, we can understand that the LCM of 676,940,974,722,309 is 8629968306180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 940, 974, 722, 309?
Answer: LCM of 676, 940, 974, 722, 309 is 8629968306180.
2. How to calculate the LCM of 676, 940, 974, 722, 309?
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 676, 940, 974, 722, 309.
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}.