Find the LCM of 686, 446, 669, 655, 497 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 686, 446, 669, 655, 497. So, keep reading to learn more.
Given numbers are 686,446,669,655,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,446,669,655,497 is 21342725670.
Find LCM of 686,446,669,655,497 with Prime Factorization
2 | 686, 446, 669, 655, 497 |
7 | 343, 223, 669, 655, 497 |
223 | 49, 223, 669, 655, 71 |
49, 1, 3, 655, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 223 x 49 x 1 x 3 x 655 x 71 = 21342725670
Therefore, the lowest common multiple of 686,446,669,655,497 is 21342725670.
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.
686 x 446 x 669 x 655 x 497 = 66631989541740
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
446 : 1, 2, 223, 446
669 : 1, 3, 223, 669
655 : 1, 5, 131, 655
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,446,669,655,497, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
446:2x 223
669:3x 223
655:5x 131
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 223 = 3122
Therefore, the value for common factors is 3122.
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 = 66631989541740/(1x3122)
LCM = 66631989541740/3122
LCM = 21342725670
Thus, we can understand that the LCM of 686,446,669,655,497 is 21342725670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 686, 446, 669, 655, 497?
Answer: LCM of 686, 446, 669, 655, 497 is 21342725670.
2. How to calculate the LCM of 686, 446, 669, 655, 497?
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 686, 446, 669, 655, 497.
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}.