Find the LCM of 644, 727, 597, 218, 898 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 644, 727, 597, 218, 898. So, keep reading to learn more.
Given numbers are 644,727,597,218,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,727,597,218,898 is 13679412578076.
Find LCM of 644,727,597,218,898 with Prime Factorization
2 | 644, 727, 597, 218, 898 |
322, 727, 597, 109, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 322 x 727 x 597 x 109 x 449 = 13679412578076
Therefore, the lowest common multiple of 644,727,597,218,898 is 13679412578076.
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.
644 x 727 x 597 x 218 x 898 = 54717650312304
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
727 : 1, 727
597 : 1, 3, 199, 597
218 : 1, 2, 109, 218
898 : 1, 2, 449, 898
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,727,597,218,898, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
727:727
597:3x 199
218:2x 109
898:2x 449
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 = 54717650312304/(1x4)
LCM = 54717650312304/4
LCM = 13679412578076
Thus, we can understand that the LCM of 644,727,597,218,898 is 13679412578076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 644, 727, 597, 218, 898?
Answer: LCM of 644, 727, 597, 218, 898 is 13679412578076.
2. How to calculate the LCM of 644, 727, 597, 218, 898?
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 644, 727, 597, 218, 898.
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}.