Find the LCM of 431, 201, 299, 721, 721 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 431, 201, 299, 721, 721. So, keep reading to learn more.
Given numbers are 431,201,299,721,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 431,201,299,721,721 is 18675824349.
Find LCM of 431,201,299,721,721 with Prime Factorization
7 | 431, 201, 299, 721, 721 |
103 | 431, 201, 299, 103, 103 |
431, 201, 299, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 103 x 431 x 201 x 299 x 1 x 1 = 18675824349
Therefore, the lowest common multiple of 431,201,299,721,721 is 18675824349.
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.
431 x 201 x 299 x 721 x 721 = 13465269355629
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.
431 : 1, 431
201 : 1, 3, 67, 201
299 : 1, 13, 23, 299
721 : 1, 7, 103, 721
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,201,299,721,721, is 1.
Now, the common factors can be found like this.
431:431
201:3x 67
299:13x 23
721:7x 103
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 103 = 721
Therefore, the value for common factors is 721.
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 = 13465269355629/(1x721)
LCM = 13465269355629/721
LCM = 18675824349
Thus, we can understand that the LCM of 431,201,299,721,721 is 18675824349.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 431, 201, 299, 721, 721?
Answer: LCM of 431, 201, 299, 721, 721 is 18675824349.
2. How to calculate the LCM of 431, 201, 299, 721, 721?
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 431, 201, 299, 721, 721.
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}.