Find the LCM of 508, 897, 180, 242, 442 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 508, 897, 180, 242, 442. So, keep reading to learn more.
Given numbers are 508,897,180,242,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,897,180,242,442 is 14059882980.
Find LCM of 508,897,180,242,442 with Prime Factorization
2 | 508, 897, 180, 242, 442 |
2 | 254, 897, 90, 121, 221 |
3 | 127, 897, 45, 121, 221 |
13 | 127, 299, 15, 121, 221 |
127, 23, 15, 121, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 127 x 23 x 15 x 121 x 17 = 14059882980
Therefore, the lowest common multiple of 508,897,180,242,442 is 14059882980.
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.
508 x 897 x 180 x 242 x 442 = 8773366979520
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.
508 : 1, 2, 4, 127, 254, 508
897 : 1, 3, 13, 23, 39, 69, 299, 897
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
242 : 1, 2, 11, 22, 121, 242
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,897,180,242,442, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
897:3x 13x 23
180:2x 2x 3x 3x 5
242:2x 11x 11
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 8773366979520/(1x624)
LCM = 8773366979520/624
LCM = 14059882980
Thus, we can understand that the LCM of 508,897,180,242,442 is 14059882980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 897, 180, 242, 442?
Answer: LCM of 508, 897, 180, 242, 442 is 14059882980.
2. How to calculate the LCM of 508, 897, 180, 242, 442?
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 508, 897, 180, 242, 442.
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}.