Find the LCM of 871, 454, 490, 183, 743 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 871, 454, 490, 183, 743. So, keep reading to learn more.
Given numbers are 871,454,490,183,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,454,490,183,743 is 13172857558770.
Find LCM of 871,454,490,183,743 with Prime Factorization
2 | 871, 454, 490, 183, 743 |
871, 227, 245, 183, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 871 x 227 x 245 x 183 x 743 = 13172857558770
Therefore, the lowest common multiple of 871,454,490,183,743 is 13172857558770.
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.
871 x 454 x 490 x 183 x 743 = 26345715117540
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.
871 : 1, 13, 67, 871
454 : 1, 2, 227, 454
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
183 : 1, 3, 61, 183
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,454,490,183,743, is 1.
Now, the common factors can be found like this.
871:13x 67
454:2x 227
490:2x 5x 7x 7
183:3x 61
743:743
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 = 26345715117540/(1x2)
LCM = 26345715117540/2
LCM = 13172857558770
Thus, we can understand that the LCM of 871,454,490,183,743 is 13172857558770.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 871, 454, 490, 183, 743?
Answer: LCM of 871, 454, 490, 183, 743 is 13172857558770.
2. How to calculate the LCM of 871, 454, 490, 183, 743?
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 871, 454, 490, 183, 743.
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}.