Find the LCM of 374, 493, 891, 667, 676 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 374, 493, 891, 667, 676. So, keep reading to learn more.
Given numbers are 374,493,891,667,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,493,891,667,676 is 6829661124.
Find LCM of 374,493,891,667,676 with Prime Factorization
2 | 374, 493, 891, 667, 676 |
11 | 187, 493, 891, 667, 338 |
17 | 17, 493, 81, 667, 338 |
29 | 1, 29, 81, 667, 338 |
1, 1, 81, 23, 338 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 29 x 1 x 1 x 81 x 23 x 338 = 6829661124
Therefore, the lowest common multiple of 374,493,891,667,676 is 6829661124.
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.
374 x 493 x 891 x 667 x 676 = 74074504550904
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
493 : 1, 17, 29, 493
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
667 : 1, 23, 29, 667
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,493,891,667,676, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
493:17x 29
891:3x 3x 3x 3x 11
667:23x 29
676:2x 2x 13x 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 11x 17x 29 = 10846
Therefore, the value for common factors is 10846.
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 = 74074504550904/(1x10846)
LCM = 74074504550904/10846
LCM = 6829661124
Thus, we can understand that the LCM of 374,493,891,667,676 is 6829661124.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 374, 493, 891, 667, 676?
Answer: LCM of 374, 493, 891, 667, 676 is 6829661124.
2. How to calculate the LCM of 374, 493, 891, 667, 676?
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 374, 493, 891, 667, 676.
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}.