Find the LCM of 721, 514, 546, 824, 957 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, 514, 546, 824, 957. So, keep reading to learn more.
Given numbers are 721,514,546,824,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,514,546,824,957 is 18442239816.
Find LCM of 721,514,546,824,957 with Prime Factorization
2 | 721, 514, 546, 824, 957 |
3 | 721, 257, 273, 412, 957 |
7 | 721, 257, 91, 412, 319 |
103 | 103, 257, 13, 412, 319 |
1, 257, 13, 4, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 103 x 1 x 257 x 13 x 4 x 319 = 18442239816
Therefore, the lowest common multiple of 721,514,546,824,957 is 18442239816.
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 514 x 546 x 824 x 957 = 159562258888032
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
514 : 1, 2, 257, 514
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
824 : 1, 2, 4, 8, 103, 206, 412, 824
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,514,546,824,957, is 1.
Now, the common factors can be found like this.
721:7x 103
514:2x 257
546:2x 3x 7x 13
824:2x 2x 2x 103
957:3x 11x 29
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 3x 7x 103 = 8652
Therefore, the value for common factors is 8652.
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 = 159562258888032/(1x8652)
LCM = 159562258888032/8652
LCM = 18442239816
Thus, we can understand that the LCM of 721,514,546,824,957 is 18442239816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 721, 514, 546, 824, 957?
Answer: LCM of 721, 514, 546, 824, 957 is 18442239816.
2. How to calculate the LCM of 721, 514, 546, 824, 957?
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, 514, 546, 824, 957.
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}.