Find the LCM of 659, 686, 968, 529 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 659, 686, 968, 529. So, keep reading to learn more.
Given numbers are 659,686,968,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,686,968,529 is 115747218664.
Find LCM of 659,686,968,529 with Prime Factorization
2 | 659, 686, 968, 529 |
659, 343, 484, 529 |
Multiply the prime numbers at the bottom and the left side.
2 x 659 x 343 x 484 x 529 = 115747218664
Therefore, the lowest common multiple of 659,686,968,529 is 115747218664.
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.
659 x 686 x 968 x 529 = 231494437328
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.
659 : 1, 659
686 : 1, 2, 7, 14, 49, 98, 343, 686
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,686,968,529, is 1.
Now, the common factors can be found like this.
659:659
686:2x 7x 7x 7
968:2x 2x 2x 11x 11
529:23x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 231494437328/(1x2)
LCM = 231494437328/2
LCM = 115747218664
Thus, we can understand that the LCM of 659,686,968,529 is 115747218664.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 659, 686, 968, 529?
Answer: LCM of 659, 686, 968, 529 is 115747218664.
2. How to calculate the LCM of 659, 686, 968, 529?
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 659, 686, 968, 529.
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}.