Find the LCM of 907, 814, 907, 788 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 907, 814, 907, 788. So, keep reading to learn more.
Given numbers are 907,814,907,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,814,907,788 is 290889412.
Find LCM of 907,814,907,788 with Prime Factorization
2 | 907, 814, 907, 788 |
907 | 907, 407, 907, 394 |
1, 407, 1, 394 |
Multiply the prime numbers at the bottom and the left side.
2 x 907 x 1 x 407 x 1 x 394 = 290889412
Therefore, the lowest common multiple of 907,814,907,788 is 290889412.
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.
907 x 814 x 907 x 788 = 527673393368
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.
907 : 1, 907
814 : 1, 2, 11, 22, 37, 74, 407, 814
907 : 1, 907
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,814,907,788, is 1.
Now, the common factors can be found like this.
907:907
814:2x 11x 37
907:907
788:2x 2x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 907 = 1814
Therefore, the value for common factors is 1814.
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 = 527673393368/(1x1814)
LCM = 527673393368/1814
LCM = 290889412
Thus, we can understand that the LCM of 907,814,907,788 is 290889412.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 907, 814, 907, 788?
Answer: LCM of 907, 814, 907, 788 is 290889412.
2. How to calculate the LCM of 907, 814, 907, 788?
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 907, 814, 907, 788.
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}.