Find the LCM of 605, 443, 299, 130, 805 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 605, 443, 299, 130, 805. So, keep reading to learn more.
Given numbers are 605,443,299,130,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,443,299,130,805 is 1121910790.
Find LCM of 605,443,299,130,805 with Prime Factorization
5 | 605, 443, 299, 130, 805 |
13 | 121, 443, 299, 26, 161 |
23 | 121, 443, 23, 2, 161 |
121, 443, 1, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 23 x 121 x 443 x 1 x 2 x 7 = 1121910790
Therefore, the lowest common multiple of 605,443,299,130,805 is 1121910790.
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.
605 x 443 x 299 x 130 x 805 = 8386283155250
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.
605 : 1, 5, 11, 55, 121, 605
443 : 1, 443
299 : 1, 13, 23, 299
130 : 1, 2, 5, 10, 13, 26, 65, 130
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,443,299,130,805, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
443:443
299:13x 23
130:2x 5x 13
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 13x 23 = 7475
Therefore, the value for common factors is 7475.
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 = 8386283155250/(1x7475)
LCM = 8386283155250/7475
LCM = 1121910790
Thus, we can understand that the LCM of 605,443,299,130,805 is 1121910790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 443, 299, 130, 805?
Answer: LCM of 605, 443, 299, 130, 805 is 1121910790.
2. How to calculate the LCM of 605, 443, 299, 130, 805?
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 605, 443, 299, 130, 805.
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}.