Find the LCM of 822, 221, 667, 871 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 822, 221, 667, 871. So, keep reading to learn more.
Given numbers are 822,221,667,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,221,667,871 is 8118293118.
Find LCM of 822,221,667,871 with Prime Factorization
13 | 822, 221, 667, 871 |
822, 17, 667, 67 |
Multiply the prime numbers at the bottom and the left side.
13 x 822 x 17 x 667 x 67 = 8118293118
Therefore, the lowest common multiple of 822,221,667,871 is 8118293118.
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.
822 x 221 x 667 x 871 = 105537810534
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
221 : 1, 13, 17, 221
667 : 1, 23, 29, 667
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,221,667,871, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
221:13x 17
667:23x 29
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 105537810534/(1x13)
LCM = 105537810534/13
LCM = 8118293118
Thus, we can understand that the LCM of 822,221,667,871 is 8118293118.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 221, 667, 871?
Answer: LCM of 822, 221, 667, 871 is 8118293118.
2. How to calculate the LCM of 822, 221, 667, 871?
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 822, 221, 667, 871.
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}.