Find the LCM of 686, 313, 649, 736, 766 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, 313, 649, 736, 766. So, keep reading to learn more.
Given numbers are 686,313,649,736,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,313,649,736,766 is 19640825751008.
Find LCM of 686,313,649,736,766 with Prime Factorization
2 | 686, 313, 649, 736, 766 |
343, 313, 649, 368, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 343 x 313 x 649 x 368 x 383 = 19640825751008
Therefore, the lowest common multiple of 686,313,649,736,766 is 19640825751008.
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 313 x 649 x 736 x 766 = 78563303004032
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
313 : 1, 313
649 : 1, 11, 59, 649
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,313,649,736,766, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
313:313
649:11x 59
736:2x 2x 2x 2x 2x 23
766:2x 383
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 78563303004032/(1x4)
LCM = 78563303004032/4
LCM = 19640825751008
Thus, we can understand that the LCM of 686,313,649,736,766 is 19640825751008.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 686, 313, 649, 736, 766?
Answer: LCM of 686, 313, 649, 736, 766 is 19640825751008.
2. How to calculate the LCM of 686, 313, 649, 736, 766?
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, 313, 649, 736, 766.
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}.