Find the LCM of 671, 217, 983, 384, 218 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 671, 217, 983, 384, 218. So, keep reading to learn more.
Given numbers are 671,217,983,384,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,217,983,384,218 is 5990919639936.
Find LCM of 671,217,983,384,218 with Prime Factorization
2 | 671, 217, 983, 384, 218 |
671, 217, 983, 192, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 671 x 217 x 983 x 192 x 109 = 5990919639936
Therefore, the lowest common multiple of 671,217,983,384,218 is 5990919639936.
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.
671 x 217 x 983 x 384 x 218 = 11981839279872
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.
671 : 1, 11, 61, 671
217 : 1, 7, 31, 217
983 : 1, 983
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,217,983,384,218, is 1.
Now, the common factors can be found like this.
671:11x 61
217:7x 31
983:983
384:2x 2x 2x 2x 2x 2x 2x 3
218:2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 11981839279872/(1x2)
LCM = 11981839279872/2
LCM = 5990919639936
Thus, we can understand that the LCM of 671,217,983,384,218 is 5990919639936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 671, 217, 983, 384, 218?
Answer: LCM of 671, 217, 983, 384, 218 is 5990919639936.
2. How to calculate the LCM of 671, 217, 983, 384, 218?
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 671, 217, 983, 384, 218.
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}.