Find the LCM of 686, 719, 959, 539, 407 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, 719, 959, 539, 407. So, keep reading to learn more.
Given numbers are 686,719,959,539,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,719,959,539,407 is 27502234606.
Find LCM of 686,719,959,539,407 with Prime Factorization
7 | 686, 719, 959, 539, 407 |
7 | 98, 719, 137, 77, 407 |
11 | 14, 719, 137, 11, 407 |
14, 719, 137, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 11 x 14 x 719 x 137 x 1 x 37 = 27502234606
Therefore, the lowest common multiple of 686,719,959,539,407 is 27502234606.
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 719 x 959 x 539 x 407 = 103765931168438
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
719 : 1, 719
959 : 1, 7, 137, 959
539 : 1, 7, 11, 49, 77, 539
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,719,959,539,407, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
719:719
959:7x 137
539:7x 7x 11
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 7x 11 = 3773
Therefore, the value for common factors is 3773.
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 = 103765931168438/(1x3773)
LCM = 103765931168438/3773
LCM = 27502234606
Thus, we can understand that the LCM of 686,719,959,539,407 is 27502234606.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 686, 719, 959, 539, 407?
Answer: LCM of 686, 719, 959, 539, 407 is 27502234606.
2. How to calculate the LCM of 686, 719, 959, 539, 407?
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, 719, 959, 539, 407.
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}.