Find the LCM of 914, 362, 582, 566 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 914, 362, 582, 566. So, keep reading to learn more.
Given numbers are 914,362,582,566
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,362,582,566 is 13623986202.
Find LCM of 914,362,582,566 with Prime Factorization
2 | 914, 362, 582, 566 |
457, 181, 291, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 457 x 181 x 291 x 283 = 13623986202
Therefore, the lowest common multiple of 914,362,582,566 is 13623986202.
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.
914 x 362 x 582 x 566 = 108991889616
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.
914 : 1, 2, 457, 914
362 : 1, 2, 181, 362
582 : 1, 2, 3, 6, 97, 194, 291, 582
566 : 1, 2, 283, 566
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,362,582,566, is 2.
Now, the common factors can be found like this.
914:2x 457
362:2x 181
582:2x 3x 97
566:2x 283
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 = 108991889616/(2x4)
LCM = 108991889616/8
LCM = 13623986202
Thus, we can understand that the LCM of 914,362,582,566 is 13623986202.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 362, 582, 566?
Answer: LCM of 914, 362, 582, 566 is 13623986202.
2. How to calculate the LCM of 914, 362, 582, 566?
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 914, 362, 582, 566.
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}.