Find the LCM of 871, 901, 579, 836, 298 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, 901, 579, 836, 298. So, keep reading to learn more.
Given numbers are 871,901,579,836,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,901,579,836,298 is 56599690394676.
Find LCM of 871,901,579,836,298 with Prime Factorization
2 | 871, 901, 579, 836, 298 |
871, 901, 579, 418, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 871 x 901 x 579 x 418 x 149 = 56599690394676
Therefore, the lowest common multiple of 871,901,579,836,298 is 56599690394676.
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 901 x 579 x 836 x 298 = 113199380789352
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
901 : 1, 17, 53, 901
579 : 1, 3, 193, 579
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,901,579,836,298, is 1.
Now, the common factors can be found like this.
871:13x 67
901:17x 53
579:3x 193
836:2x 2x 11x 19
298:2x 149
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 = 113199380789352/(1x2)
LCM = 113199380789352/2
LCM = 56599690394676
Thus, we can understand that the LCM of 871,901,579,836,298 is 56599690394676.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 871, 901, 579, 836, 298?
Answer: LCM of 871, 901, 579, 836, 298 is 56599690394676.
2. How to calculate the LCM of 871, 901, 579, 836, 298?
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, 901, 579, 836, 298.
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}.