Find the LCM of 684, 766, 643, 673 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 684, 766, 643, 673. So, keep reading to learn more.
Given numbers are 684,766,643,673
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,766,643,673 is 113365501308.
Find LCM of 684,766,643,673 with Prime Factorization
2 | 684, 766, 643, 673 |
342, 383, 643, 673 |
Multiply the prime numbers at the bottom and the left side.
2 x 342 x 383 x 643 x 673 = 113365501308
Therefore, the lowest common multiple of 684,766,643,673 is 113365501308.
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.
684 x 766 x 643 x 673 = 226731002616
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
766 : 1, 2, 383, 766
643 : 1, 643
673 : 1, 673
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,766,643,673, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
766:2x 383
643:643
673:673
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 = 226731002616/(1x2)
LCM = 226731002616/2
LCM = 113365501308
Thus, we can understand that the LCM of 684,766,643,673 is 113365501308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 766, 643, 673?
Answer: LCM of 684, 766, 643, 673 is 113365501308.
2. How to calculate the LCM of 684, 766, 643, 673?
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 684, 766, 643, 673.
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}.