Find the LCM of 688, 268, 289, 814 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 688, 268, 289, 814. So, keep reading to learn more.
Given numbers are 688,268,289,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,268,289,814 is 5421949808.
Find LCM of 688,268,289,814 with Prime Factorization
2 | 688, 268, 289, 814 |
2 | 344, 134, 289, 407 |
172, 67, 289, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 172 x 67 x 289 x 407 = 5421949808
Therefore, the lowest common multiple of 688,268,289,814 is 5421949808.
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.
688 x 268 x 289 x 814 = 43375598464
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
268 : 1, 2, 4, 67, 134, 268
289 : 1, 17, 289
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,268,289,814, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
268:2x 2x 67
289:17x 17
814:2x 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.
2x 2x 2 = 8
Therefore, the value for common factors is 8.
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 = 43375598464/(1x8)
LCM = 43375598464/8
LCM = 5421949808
Thus, we can understand that the LCM of 688,268,289,814 is 5421949808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 268, 289, 814?
Answer: LCM of 688, 268, 289, 814 is 5421949808.
2. How to calculate the LCM of 688, 268, 289, 814?
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 688, 268, 289, 814.
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}.