Find the LCM of 515, 721, 800, 862 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 515, 721, 800, 862. So, keep reading to learn more.
Given numbers are 515,721,800,862
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,721,800,862 is 248600800.
Find LCM of 515,721,800,862 with Prime Factorization
2 | 515, 721, 800, 862 |
5 | 515, 721, 400, 431 |
103 | 103, 721, 80, 431 |
1, 7, 80, 431 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 103 x 1 x 7 x 80 x 431 = 248600800
Therefore, the lowest common multiple of 515,721,800,862 is 248600800.
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.
515 x 721 x 800 x 862 = 256058824000
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.
515 : 1, 5, 103, 515
721 : 1, 7, 103, 721
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
862 : 1, 2, 431, 862
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,721,800,862, is 1.
Now, the common factors can be found like this.
515:5x 103
721:7x 103
800:2x 2x 2x 2x 2x 5x 5
862:2x 431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 103 = 1030
Therefore, the value for common factors is 1030.
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 = 256058824000/(1x1030)
LCM = 256058824000/1030
LCM = 248600800
Thus, we can understand that the LCM of 515,721,800,862 is 248600800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 515, 721, 800, 862?
Answer: LCM of 515, 721, 800, 862 is 248600800.
2. How to calculate the LCM of 515, 721, 800, 862?
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 515, 721, 800, 862.
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}.