LCM of 816, 210, 871, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 816, 210, 871, 977 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 816, 210, 871, 977. So, keep reading to learn more.
Given numbers are 816,210,871,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 816,210,871,977 is 24303617520.
Find LCM of 816,210,871,977 with Prime Factorization
| 2 | 816, 210, 871, 977 |
| 3 | 408, 105, 871, 977 |
| 136, 35, 871, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 136 x 35 x 871 x 977 = 24303617520
Therefore, the lowest common multiple of 816,210,871,977 is 24303617520.
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.
816 x 210 x 871 x 977 = 145821705120
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.
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
871 : 1, 13, 67, 871
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,210,871,977, is 1.
Now, the common factors can be found like this.
816:2x 2x 2x 2x 3x 17
210:2x 3x 5x 7
871:13x 67
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 145821705120/(1x6)
LCM = 145821705120/6
LCM = 24303617520
Thus, we can understand that the LCM of 816,210,871,977 is 24303617520.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 816, 210, 871, 977
1. What is the LCM of 816, 210, 871, 977?
Answer: LCM of 816, 210, 871, 977 is 24303617520.
2. How to calculate the LCM of 816, 210, 871, 977?
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 816, 210, 871, 977.
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}.