Find the LCM of 385, 928, 429, 654, 394 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 385, 928, 429, 654, 394. So, keep reading to learn more.
Given numbers are 385,928,429,654,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,928,429,654,394 is 299203064160.
Find LCM of 385,928,429,654,394 with Prime Factorization
2 | 385, 928, 429, 654, 394 |
3 | 385, 464, 429, 327, 197 |
11 | 385, 464, 143, 109, 197 |
35, 464, 13, 109, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 35 x 464 x 13 x 109 x 197 = 299203064160
Therefore, the lowest common multiple of 385,928,429,654,394 is 299203064160.
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.
385 x 928 x 429 x 654 x 394 = 39494804469120
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
429 : 1, 3, 11, 13, 33, 39, 143, 429
654 : 1, 2, 3, 6, 109, 218, 327, 654
394 : 1, 2, 197, 394
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,928,429,654,394, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
928:2x 2x 2x 2x 2x 29
429:3x 11x 13
654:2x 3x 109
394:2x 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 2x 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 39494804469120/(1x132)
LCM = 39494804469120/132
LCM = 299203064160
Thus, we can understand that the LCM of 385,928,429,654,394 is 299203064160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 385, 928, 429, 654, 394?
Answer: LCM of 385, 928, 429, 654, 394 is 299203064160.
2. How to calculate the LCM of 385, 928, 429, 654, 394?
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 385, 928, 429, 654, 394.
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}.