Find the LCM of 567, 892, 446, 838 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 567, 892, 446, 838. So, keep reading to learn more.
Given numbers are 567,892,446,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,892,446,838 is 211915116.
Find LCM of 567,892,446,838 with Prime Factorization
2 | 567, 892, 446, 838 |
223 | 567, 446, 223, 419 |
567, 2, 1, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 223 x 567 x 2 x 1 x 419 = 211915116
Therefore, the lowest common multiple of 567,892,446,838 is 211915116.
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.
567 x 892 x 446 x 838 = 189028283472
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
892 : 1, 2, 4, 223, 446, 892
446 : 1, 2, 223, 446
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,892,446,838, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
892:2x 2x 223
446:2x 223
838:2x 419
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 223 = 892
Therefore, the value for common factors is 892.
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 = 189028283472/(1x892)
LCM = 189028283472/892
LCM = 211915116
Thus, we can understand that the LCM of 567,892,446,838 is 211915116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 892, 446, 838?
Answer: LCM of 567, 892, 446, 838 is 211915116.
2. How to calculate the LCM of 567, 892, 446, 838?
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 567, 892, 446, 838.
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}.