Find the LCM of 909, 862, 534, 808 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 909, 862, 534, 808. So, keep reading to learn more.
Given numbers are 909,862,534,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,862,534,808 is 278946648.
Find LCM of 909,862,534,808 with Prime Factorization
2 | 909, 862, 534, 808 |
3 | 909, 431, 267, 404 |
101 | 303, 431, 89, 404 |
3, 431, 89, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 3 x 431 x 89 x 4 = 278946648
Therefore, the lowest common multiple of 909,862,534,808 is 278946648.
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.
909 x 862 x 534 x 808 = 338083337376
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.
909 : 1, 3, 9, 101, 303, 909
862 : 1, 2, 431, 862
534 : 1, 2, 3, 6, 89, 178, 267, 534
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,862,534,808, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
862:2x 431
534:2x 3x 89
808:2x 2x 2x 101
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 101 = 1212
Therefore, the value for common factors is 1212.
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 = 338083337376/(1x1212)
LCM = 338083337376/1212
LCM = 278946648
Thus, we can understand that the LCM of 909,862,534,808 is 278946648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 909, 862, 534, 808?
Answer: LCM of 909, 862, 534, 808 is 278946648.
2. How to calculate the LCM of 909, 862, 534, 808?
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 909, 862, 534, 808.
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}.