Find the LCM of 808, 909, 434, 774, 287 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 808, 909, 434, 774, 287. So, keep reading to learn more.
Given numbers are 808,909,434,774,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,909,434,774,287 is 2782056312.
Find LCM of 808,909,434,774,287 with Prime Factorization
2 | 808, 909, 434, 774, 287 |
3 | 404, 909, 217, 387, 287 |
3 | 404, 303, 217, 129, 287 |
7 | 404, 101, 217, 43, 287 |
101 | 404, 101, 31, 43, 41 |
4, 1, 31, 43, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 101 x 4 x 1 x 31 x 43 x 41 = 2782056312
Therefore, the lowest common multiple of 808,909,434,774,287 is 2782056312.
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.
808 x 909 x 434 x 774 x 287 = 70808897253024
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
909 : 1, 3, 9, 101, 303, 909
434 : 1, 2, 7, 14, 31, 62, 217, 434
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,909,434,774,287, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
909:3x 3x 101
434:2x 7x 31
774:2x 3x 3x 43
287:7x 41
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 3x 7x 101 = 25452
Therefore, the value for common factors is 25452.
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 = 70808897253024/(1x25452)
LCM = 70808897253024/25452
LCM = 2782056312
Thus, we can understand that the LCM of 808,909,434,774,287 is 2782056312.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 909, 434, 774, 287?
Answer: LCM of 808, 909, 434, 774, 287 is 2782056312.
2. How to calculate the LCM of 808, 909, 434, 774, 287?
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 808, 909, 434, 774, 287.
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}.