Find the LCM of 772, 206, 897, 329, 312 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 772, 206, 897, 329, 312. So, keep reading to learn more.
Given numbers are 772,206,897,329,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,206,897,329,312 is 46932410616.
Find LCM of 772,206,897,329,312 with Prime Factorization
2 | 772, 206, 897, 329, 312 |
2 | 386, 103, 897, 329, 156 |
3 | 193, 103, 897, 329, 78 |
13 | 193, 103, 299, 329, 26 |
193, 103, 23, 329, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 193 x 103 x 23 x 329 x 2 = 46932410616
Therefore, the lowest common multiple of 772,206,897,329,312 is 46932410616.
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.
772 x 206 x 897 x 329 x 312 = 14642912112192
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.
772 : 1, 2, 4, 193, 386, 772
206 : 1, 2, 103, 206
897 : 1, 3, 13, 23, 39, 69, 299, 897
329 : 1, 7, 47, 329
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,206,897,329,312, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
206:2x 103
897:3x 13x 23
329:7x 47
312:2x 2x 2x 3x 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 2x 2x 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 14642912112192/(1x312)
LCM = 14642912112192/312
LCM = 46932410616
Thus, we can understand that the LCM of 772,206,897,329,312 is 46932410616.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 772, 206, 897, 329, 312?
Answer: LCM of 772, 206, 897, 329, 312 is 46932410616.
2. How to calculate the LCM of 772, 206, 897, 329, 312?
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 772, 206, 897, 329, 312.
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}.