Find the LCM of 778, 814, 899, 331 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 778, 814, 899, 331. So, keep reading to learn more.
Given numbers are 778,814,899,331
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,814,899,331 is 94224033574.
Find LCM of 778,814,899,331 with Prime Factorization
2 | 778, 814, 899, 331 |
389, 407, 899, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 389 x 407 x 899 x 331 = 94224033574
Therefore, the lowest common multiple of 778,814,899,331 is 94224033574.
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.
778 x 814 x 899 x 331 = 188448067148
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.
778 : 1, 2, 389, 778
814 : 1, 2, 11, 22, 37, 74, 407, 814
899 : 1, 29, 31, 899
331 : 1, 331
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,814,899,331, is 1.
Now, the common factors can be found like this.
778:2x 389
814:2x 11x 37
899:29x 31
331:331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 188448067148/(1x2)
LCM = 188448067148/2
LCM = 94224033574
Thus, we can understand that the LCM of 778,814,899,331 is 94224033574.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 778, 814, 899, 331?
Answer: LCM of 778, 814, 899, 331 is 94224033574.
2. How to calculate the LCM of 778, 814, 899, 331?
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 778, 814, 899, 331.
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}.