LCM of 314, 914, 964, 819
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 914, 964, 819 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 314, 914, 964, 819. So, keep reading to learn more.
Given numbers are 314,914,964,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,914,964,819 is 56646983484.
Find LCM of 314,914,964,819 with Prime Factorization
| 2 | 314, 914, 964, 819 |
| 157, 457, 482, 819 |
Multiply the prime numbers at the bottom and the left side.
2 x 157 x 457 x 482 x 819 = 56646983484
Therefore, the lowest common multiple of 314,914,964,819 is 56646983484.
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.
314 x 914 x 964 x 819 = 226587933936
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.
314 : 1, 2, 157, 314
914 : 1, 2, 457, 914
964 : 1, 2, 4, 241, 482, 964
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,914,964,819, is 1.
Now, the common factors can be found like this.
314:2x 157
914:2x 457
964:2x 2x 241
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 226587933936/(1x4)
LCM = 226587933936/4
LCM = 56646983484
Thus, we can understand that the LCM of 314,914,964,819 is 56646983484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 314, 914, 964, 819
1. What is the LCM of 314, 914, 964, 819?
Answer: LCM of 314, 914, 964, 819 is 56646983484.
2. How to calculate the LCM of 314, 914, 964, 819?
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 314, 914, 964, 819.
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}.