Find the LCM of 723, 671, 723, 872 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 723, 671, 723, 872. So, keep reading to learn more.
Given numbers are 723,671,723,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,671,723,872 is 423035976.
Find LCM of 723,671,723,872 with Prime Factorization
3 | 723, 671, 723, 872 |
241 | 241, 671, 241, 872 |
1, 671, 1, 872 |
Multiply the prime numbers at the bottom and the left side.
3 x 241 x 1 x 671 x 1 x 872 = 423035976
Therefore, the lowest common multiple of 723,671,723,872 is 423035976.
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.
723 x 671 x 723 x 872 = 305855010648
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.
723 : 1, 3, 241, 723
671 : 1, 11, 61, 671
723 : 1, 3, 241, 723
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,671,723,872, is 1.
Now, the common factors can be found like this.
723:3x 241
671:11x 61
723:3x 241
872:2x 2x 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.
3x 241 = 723
Therefore, the value for common factors is 723.
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 = 305855010648/(1x723)
LCM = 305855010648/723
LCM = 423035976
Thus, we can understand that the LCM of 723,671,723,872 is 423035976.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 671, 723, 872?
Answer: LCM of 723, 671, 723, 872 is 423035976.
2. How to calculate the LCM of 723, 671, 723, 872?
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 723, 671, 723, 872.
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}.