LCM of 874, 271, 814, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 271, 814, 813 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 874, 271, 814, 813. So, keep reading to learn more.
Given numbers are 874,271,814,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,271,814,813 is 289198734.
Find LCM of 874,271,814,813 with Prime Factorization
| 2 | 874, 271, 814, 813 |
| 271 | 437, 271, 407, 813 |
| 437, 1, 407, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 271 x 437 x 1 x 407 x 3 = 289198734
Therefore, the lowest common multiple of 874,271,814,813 is 289198734.
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.
874 x 271 x 814 x 813 = 156745713828
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
271 : 1, 271
814 : 1, 2, 11, 22, 37, 74, 407, 814
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,271,814,813, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
271:271
814:2x 11x 37
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 271 = 542
Therefore, the value for common factors is 542.
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 = 156745713828/(1x542)
LCM = 156745713828/542
LCM = 289198734
Thus, we can understand that the LCM of 874,271,814,813 is 289198734.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 874, 271, 814, 813
1. What is the LCM of 874, 271, 814, 813?
Answer: LCM of 874, 271, 814, 813 is 289198734.
2. How to calculate the LCM of 874, 271, 814, 813?
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 874, 271, 814, 813.
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}.