Find the LCM of 814, 575, 437, 229 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 814, 575, 437, 229. So, keep reading to learn more.
Given numbers are 814,575,437,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,575,437,229 is 2036485550.
Find LCM of 814,575,437,229 with Prime Factorization
23 | 814, 575, 437, 229 |
814, 25, 19, 229 |
Multiply the prime numbers at the bottom and the left side.
23 x 814 x 25 x 19 x 229 = 2036485550
Therefore, the lowest common multiple of 814,575,437,229 is 2036485550.
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.
814 x 575 x 437 x 229 = 46839167650
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
575 : 1, 5, 23, 25, 115, 575
437 : 1, 19, 23, 437
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,575,437,229, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
575:5x 5x 23
437:19x 23
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 46839167650/(1x23)
LCM = 46839167650/23
LCM = 2036485550
Thus, we can understand that the LCM of 814,575,437,229 is 2036485550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 575, 437, 229?
Answer: LCM of 814, 575, 437, 229 is 2036485550.
2. How to calculate the LCM of 814, 575, 437, 229?
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 814, 575, 437, 229.
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}.