Find the LCM of 107, 978, 892, 798, 223 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 107, 978, 892, 798, 223. So, keep reading to learn more.
Given numbers are 107,978,892,798,223
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,978,892,798,223 is 6207391428.
Find LCM of 107,978,892,798,223 with Prime Factorization
2 | 107, 978, 892, 798, 223 |
3 | 107, 489, 446, 399, 223 |
223 | 107, 163, 446, 133, 223 |
107, 163, 2, 133, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 223 x 107 x 163 x 2 x 133 x 1 = 6207391428
Therefore, the lowest common multiple of 107,978,892,798,223 is 6207391428.
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.
107 x 978 x 892 x 798 x 223 = 16610979461328
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.
107 : 1, 107
978 : 1, 2, 3, 6, 163, 326, 489, 978
892 : 1, 2, 4, 223, 446, 892
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
223 : 1, 223
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,978,892,798,223, is 1.
Now, the common factors can be found like this.
107:107
978:2x 3x 163
892:2x 2x 223
798:2x 3x 7x 19
223:223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 223 = 2676
Therefore, the value for common factors is 2676.
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 = 16610979461328/(1x2676)
LCM = 16610979461328/2676
LCM = 6207391428
Thus, we can understand that the LCM of 107,978,892,798,223 is 6207391428.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 978, 892, 798, 223?
Answer: LCM of 107, 978, 892, 798, 223 is 6207391428.
2. How to calculate the LCM of 107, 978, 892, 798, 223?
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 107, 978, 892, 798, 223.
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}.