Find the LCM of 721, 597, 231, 404, 413 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 721, 597, 231, 404, 413. So, keep reading to learn more.
Given numbers are 721,597,231,404,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,597,231,404,413 is 112858859652.
Find LCM of 721,597,231,404,413 with Prime Factorization
3 | 721, 597, 231, 404, 413 |
7 | 721, 199, 77, 404, 413 |
103, 199, 11, 404, 59 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 103 x 199 x 11 x 404 x 59 = 112858859652
Therefore, the lowest common multiple of 721,597,231,404,413 is 112858859652.
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.
721 x 597 x 231 x 404 x 413 = 16590252368844
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.
721 : 1, 7, 103, 721
597 : 1, 3, 199, 597
231 : 1, 3, 7, 11, 21, 33, 77, 231
404 : 1, 2, 4, 101, 202, 404
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,597,231,404,413, is 1.
Now, the common factors can be found like this.
721:7x 103
597:3x 199
231:3x 7x 11
404:2x 2x 101
413:7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 16590252368844/(1x147)
LCM = 16590252368844/147
LCM = 112858859652
Thus, we can understand that the LCM of 721,597,231,404,413 is 112858859652.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 597, 231, 404, 413?
Answer: LCM of 721, 597, 231, 404, 413 is 112858859652.
2. How to calculate the LCM of 721, 597, 231, 404, 413?
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 721, 597, 231, 404, 413.
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}.