Find the LCM of 275, 385, 886, 886, 868 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 275, 385, 886, 886, 868. So, keep reading to learn more.
Given numbers are 275,385,886,886,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 275,385,886,886,868 is 105744100.
Find LCM of 275,385,886,886,868 with Prime Factorization
2 | 275, 385, 886, 886, 868 |
5 | 275, 385, 443, 443, 434 |
7 | 55, 77, 443, 443, 434 |
11 | 55, 11, 443, 443, 62 |
443 | 5, 1, 443, 443, 62 |
5, 1, 1, 1, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 443 x 5 x 1 x 1 x 1 x 62 = 105744100
Therefore, the lowest common multiple of 275,385,886,886,868 is 105744100.
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.
275 x 385 x 886 x 886 x 868 = 72140739902000
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.
275 : 1, 5, 11, 25, 55, 275
385 : 1, 5, 7, 11, 35, 55, 77, 385
886 : 1, 2, 443, 886
886 : 1, 2, 443, 886
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,385,886,886,868, is 1.
Now, the common factors can be found like this.
275:5x 5x 11
385:5x 7x 11
886:2x 443
886:2x 443
868:2x 2x 7x 31
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 5x 7x 11x 443 = 682220
Therefore, the value for common factors is 682220.
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 = 72140739902000/(1x682220)
LCM = 72140739902000/682220
LCM = 105744100
Thus, we can understand that the LCM of 275,385,886,886,868 is 105744100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 275, 385, 886, 886, 868?
Answer: LCM of 275, 385, 886, 886, 868 is 105744100.
2. How to calculate the LCM of 275, 385, 886, 886, 868?
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 275, 385, 886, 886, 868.
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}.