Find the LCM of 878, 714, 411, 892, 831 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 878, 714, 411, 892, 831. So, keep reading to learn more.
Given numbers are 878,714,411,892,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 878,714,411,892,831 is 5305153165284.
Find LCM of 878,714,411,892,831 with Prime Factorization
2 | 878, 714, 411, 892, 831 |
3 | 439, 357, 411, 446, 831 |
439, 119, 137, 446, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 439 x 119 x 137 x 446 x 277 = 5305153165284
Therefore, the lowest common multiple of 878,714,411,892,831 is 5305153165284.
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.
878 x 714 x 411 x 892 x 831 = 190985513950224
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.
878 : 1, 2, 439, 878
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
411 : 1, 3, 137, 411
892 : 1, 2, 4, 223, 446, 892
831 : 1, 3, 277, 831
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,714,411,892,831, is 1.
Now, the common factors can be found like this.
878:2x 439
714:2x 3x 7x 17
411:3x 137
892:2x 2x 223
831:3x 277
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 3 = 36
Therefore, the value for common factors is 36.
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 = 190985513950224/(1x36)
LCM = 190985513950224/36
LCM = 5305153165284
Thus, we can understand that the LCM of 878,714,411,892,831 is 5305153165284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 878, 714, 411, 892, 831?
Answer: LCM of 878, 714, 411, 892, 831 is 5305153165284.
2. How to calculate the LCM of 878, 714, 411, 892, 831?
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 878, 714, 411, 892, 831.
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}.