Find the LCM of 416, 701, 566, 701 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 416, 701, 566, 701. So, keep reading to learn more.
Given numbers are 416,701,566,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,701,566,701 is 82527328.
Find LCM of 416,701,566,701 with Prime Factorization
2 | 416, 701, 566, 701 |
701 | 208, 701, 283, 701 |
208, 1, 283, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 701 x 208 x 1 x 283 x 1 = 82527328
Therefore, the lowest common multiple of 416,701,566,701 is 82527328.
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.
416 x 701 x 566 x 701 = 115703313856
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
701 : 1, 701
566 : 1, 2, 283, 566
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,701,566,701, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
701:701
566:2x 283
701:701
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 701 = 1402
Therefore, the value for common factors is 1402.
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 = 115703313856/(1x1402)
LCM = 115703313856/1402
LCM = 82527328
Thus, we can understand that the LCM of 416,701,566,701 is 82527328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 701, 566, 701?
Answer: LCM of 416, 701, 566, 701 is 82527328.
2. How to calculate the LCM of 416, 701, 566, 701?
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 416, 701, 566, 701.
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}.