Find the LCM of 973, 483, 667, 331, 668 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 973, 483, 667, 331, 668. So, keep reading to learn more.
Given numbers are 973,483,667,331,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,483,667,331,668 is 430491306084.
Find LCM of 973,483,667,331,668 with Prime Factorization
7 | 973, 483, 667, 331, 668 |
23 | 139, 69, 667, 331, 668 |
139, 3, 29, 331, 668 |
Multiply the prime numbers at the bottom and the left side.
7 x 23 x 139 x 3 x 29 x 331 x 668 = 430491306084
Therefore, the lowest common multiple of 973,483,667,331,668 is 430491306084.
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.
973 x 483 x 667 x 331 x 668 = 69309100279524
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.
973 : 1, 7, 139, 973
483 : 1, 3, 7, 21, 23, 69, 161, 483
667 : 1, 23, 29, 667
331 : 1, 331
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,483,667,331,668, is 1.
Now, the common factors can be found like this.
973:7x 139
483:3x 7x 23
667:23x 29
331:331
668:2x 2x 167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 23 = 161
Therefore, the value for common factors is 161.
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 = 69309100279524/(1x161)
LCM = 69309100279524/161
LCM = 430491306084
Thus, we can understand that the LCM of 973,483,667,331,668 is 430491306084.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 483, 667, 331, 668?
Answer: LCM of 973, 483, 667, 331, 668 is 430491306084.
2. How to calculate the LCM of 973, 483, 667, 331, 668?
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 973, 483, 667, 331, 668.
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}.