Find the LCM of 485, 595, 421, 218 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 485, 595, 421, 218. So, keep reading to learn more.
Given numbers are 485,595,421,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,595,421,218 is 5296967270.
Find LCM of 485,595,421,218 with Prime Factorization
5 | 485, 595, 421, 218 |
97, 119, 421, 218 |
Multiply the prime numbers at the bottom and the left side.
5 x 97 x 119 x 421 x 218 = 5296967270
Therefore, the lowest common multiple of 485,595,421,218 is 5296967270.
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.
485 x 595 x 421 x 218 = 26484836350
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.
485 : 1, 5, 97, 485
595 : 1, 5, 7, 17, 35, 85, 119, 595
421 : 1, 421
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,595,421,218, is 1.
Now, the common factors can be found like this.
485:5x 97
595:5x 7x 17
421:421
218:2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 26484836350/(1x5)
LCM = 26484836350/5
LCM = 5296967270
Thus, we can understand that the LCM of 485,595,421,218 is 5296967270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 485, 595, 421, 218?
Answer: LCM of 485, 595, 421, 218 is 5296967270.
2. How to calculate the LCM of 485, 595, 421, 218?
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 485, 595, 421, 218.
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}.