Find the LCM of 279, 558, 485, 882, 517 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, 558, 485, 882, 517. So, keep reading to learn more.
Given numbers are 279,558,485,882,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,558,485,882,517 is 6855869790.
Find LCM of 279,558,485,882,517 with Prime Factorization
2 | 279, 558, 485, 882, 517 |
3 | 279, 279, 485, 441, 517 |
3 | 93, 93, 485, 147, 517 |
31 | 31, 31, 485, 49, 517 |
1, 1, 485, 49, 517 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 1 x 1 x 485 x 49 x 517 = 6855869790
Therefore, the lowest common multiple of 279,558,485,882,517 is 6855869790.
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 558 x 485 x 882 x 517 = 34430178085380
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
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
485 : 1, 5, 97, 485
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,558,485,882,517, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
558:2x 3x 3x 31
485:5x 97
882:2x 3x 3x 7x 7
517:11x 47
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 3x 31 = 5022
Therefore, the value for common factors is 5022.
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 = 34430178085380/(1x5022)
LCM = 34430178085380/5022
LCM = 6855869790
Thus, we can understand that the LCM of 279,558,485,882,517 is 6855869790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 558, 485, 882, 517?
Answer: LCM of 279, 558, 485, 882, 517 is 6855869790.
2. How to calculate the LCM of 279, 558, 485, 882, 517?
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, 558, 485, 882, 517.
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}.