Find the LCM of 882, 273, 228, 551, 579 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 882, 273, 228, 551, 579. So, keep reading to learn more.
Given numbers are 882,273,228,551,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,273,228,551,579 is 2438657676.
Find LCM of 882,273,228,551,579 with Prime Factorization
2 | 882, 273, 228, 551, 579 |
3 | 441, 273, 114, 551, 579 |
7 | 147, 91, 38, 551, 193 |
19 | 21, 13, 38, 551, 193 |
21, 13, 2, 29, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 21 x 13 x 2 x 29 x 193 = 2438657676
Therefore, the lowest common multiple of 882,273,228,551,579 is 2438657676.
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.
882 x 273 x 228 x 551 x 579 = 17514439429032
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
273 : 1, 3, 7, 13, 21, 39, 91, 273
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
551 : 1, 19, 29, 551
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,273,228,551,579, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
273:3x 7x 13
228:2x 2x 3x 19
551:19x 29
579:3x 193
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 7x 19 = 7182
Therefore, the value for common factors is 7182.
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 = 17514439429032/(1x7182)
LCM = 17514439429032/7182
LCM = 2438657676
Thus, we can understand that the LCM of 882,273,228,551,579 is 2438657676.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 882, 273, 228, 551, 579?
Answer: LCM of 882, 273, 228, 551, 579 is 2438657676.
2. How to calculate the LCM of 882, 273, 228, 551, 579?
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 882, 273, 228, 551, 579.
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}.