Find the LCM of 914, 403, 214, 563 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, 403, 214, 563. So, keep reading to learn more.
Given numbers are 914,403,214,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,403,214,563 is 22189290422.
Find LCM of 914,403,214,563 with Prime Factorization
2 | 914, 403, 214, 563 |
457, 403, 107, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 457 x 403 x 107 x 563 = 22189290422
Therefore, the lowest common multiple of 914,403,214,563 is 22189290422.
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 403 x 214 x 563 = 44378580844
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
403 : 1, 13, 31, 403
214 : 1, 2, 107, 214
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,403,214,563, is 1.
Now, the common factors can be found like this.
914:2x 457
403:13x 31
214:2x 107
563:563
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 44378580844/(1x2)
LCM = 44378580844/2
LCM = 22189290422
Thus, we can understand that the LCM of 914,403,214,563 is 22189290422.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 403, 214, 563?
Answer: LCM of 914, 403, 214, 563 is 22189290422.
2. How to calculate the LCM of 914, 403, 214, 563?
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, 403, 214, 563.
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}.