Find the LCM of 279, 881, 881, 822, 853 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 279, 881, 881, 822, 853. So, keep reading to learn more.
Given numbers are 279,881,881,822,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,881,881,822,853 is 57448633878.
Find LCM of 279,881,881,822,853 with Prime Factorization
3 | 279, 881, 881, 822, 853 |
881 | 93, 881, 881, 274, 853 |
93, 1, 1, 274, 853 |
Multiply the prime numbers at the bottom and the left side.
3 x 881 x 93 x 1 x 1 x 274 x 853 = 57448633878
Therefore, the lowest common multiple of 279,881,881,822,853 is 57448633878.
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.
279 x 881 x 881 x 822 x 853 = 151836739339554
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.
279 : 1, 3, 9, 31, 93, 279
881 : 1, 881
881 : 1, 881
822 : 1, 2, 3, 6, 137, 274, 411, 822
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,881,881,822,853, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
881:881
881:881
822:2x 3x 137
853:853
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 881 = 2643
Therefore, the value for common factors is 2643.
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 = 151836739339554/(1x2643)
LCM = 151836739339554/2643
LCM = 57448633878
Thus, we can understand that the LCM of 279,881,881,822,853 is 57448633878.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 881, 881, 822, 853?
Answer: LCM of 279, 881, 881, 822, 853 is 57448633878.
2. How to calculate the LCM of 279, 881, 881, 822, 853?
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 279, 881, 881, 822, 853.
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}.