Find the LCM of 814, 946, 327, 156, 519 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 814, 946, 327, 156, 519. So, keep reading to learn more.
Given numbers are 814,946,327,156,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,946,327,156,519 is 51482551692.
Find LCM of 814,946,327,156,519 with Prime Factorization
2 | 814, 946, 327, 156, 519 |
3 | 407, 473, 327, 78, 519 |
11 | 407, 473, 109, 26, 173 |
37, 43, 109, 26, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 43 x 109 x 26 x 173 = 51482551692
Therefore, the lowest common multiple of 814,946,327,156,519 is 51482551692.
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.
814 x 946 x 327 x 156 x 519 = 20387090470032
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
946 : 1, 2, 11, 22, 43, 86, 473, 946
327 : 1, 3, 109, 327
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,946,327,156,519, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
946:2x 11x 43
327:3x 109
156:2x 2x 3x 13
519:3x 173
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 11 = 396
Therefore, the value for common factors is 396.
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 = 20387090470032/(1x396)
LCM = 20387090470032/396
LCM = 51482551692
Thus, we can understand that the LCM of 814,946,327,156,519 is 51482551692.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 946, 327, 156, 519?
Answer: LCM of 814, 946, 327, 156, 519 is 51482551692.
2. How to calculate the LCM of 814, 946, 327, 156, 519?
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 814, 946, 327, 156, 519.
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}.