Find the LCM of 775, 676, 574, 388, 406 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 775, 676, 574, 388, 406. So, keep reading to learn more.
Given numbers are 775,676,574,388,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,676,574,388,406 is 422960710900.
Find LCM of 775,676,574,388,406 with Prime Factorization
2 | 775, 676, 574, 388, 406 |
2 | 775, 338, 287, 194, 203 |
7 | 775, 169, 287, 97, 203 |
775, 169, 41, 97, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 775 x 169 x 41 x 97 x 29 = 422960710900
Therefore, the lowest common multiple of 775,676,574,388,406 is 422960710900.
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.
775 x 676 x 574 x 388 x 406 = 47371599620800
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.
775 : 1, 5, 25, 31, 155, 775
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
574 : 1, 2, 7, 14, 41, 82, 287, 574
388 : 1, 2, 4, 97, 194, 388
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,676,574,388,406, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
676:2x 2x 13x 13
574:2x 7x 41
388:2x 2x 97
406:2x 7x 29
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 2x 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 47371599620800/(1x112)
LCM = 47371599620800/112
LCM = 422960710900
Thus, we can understand that the LCM of 775,676,574,388,406 is 422960710900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 775, 676, 574, 388, 406?
Answer: LCM of 775, 676, 574, 388, 406 is 422960710900.
2. How to calculate the LCM of 775, 676, 574, 388, 406?
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 775, 676, 574, 388, 406.
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}.