Find the LCM of 866, 759, 672, 451, 789 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 866, 759, 672, 451, 789. So, keep reading to learn more.
Given numbers are 866,759,672,451,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,759,672,451,789 is 793811334624.
Find LCM of 866,759,672,451,789 with Prime Factorization
2 | 866, 759, 672, 451, 789 |
3 | 433, 759, 336, 451, 789 |
11 | 433, 253, 112, 451, 263 |
433, 23, 112, 41, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 433 x 23 x 112 x 41 x 263 = 793811334624
Therefore, the lowest common multiple of 866,759,672,451,789 is 793811334624.
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.
866 x 759 x 672 x 451 x 789 = 157174644255552
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.
866 : 1, 2, 433, 866
759 : 1, 3, 11, 23, 33, 69, 253, 759
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
451 : 1, 11, 41, 451
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,759,672,451,789, is 1.
Now, the common factors can be found like this.
866:2x 433
759:3x 11x 23
672:2x 2x 2x 2x 2x 3x 7
451:11x 41
789:3x 263
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 11 = 198
Therefore, the value for common factors is 198.
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 = 157174644255552/(1x198)
LCM = 157174644255552/198
LCM = 793811334624
Thus, we can understand that the LCM of 866,759,672,451,789 is 793811334624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 866, 759, 672, 451, 789?
Answer: LCM of 866, 759, 672, 451, 789 is 793811334624.
2. How to calculate the LCM of 866, 759, 672, 451, 789?
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 866, 759, 672, 451, 789.
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}.