Find the LCM of 812, 631, 393, 667 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 812, 631, 393, 667. So, keep reading to learn more.
Given numbers are 812,631,393,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,631,393,667 is 4631330508.
Find LCM of 812,631,393,667 with Prime Factorization
29 | 812, 631, 393, 667 |
28, 631, 393, 23 |
Multiply the prime numbers at the bottom and the left side.
29 x 28 x 631 x 393 x 23 = 4631330508
Therefore, the lowest common multiple of 812,631,393,667 is 4631330508.
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.
812 x 631 x 393 x 667 = 134308584732
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
631 : 1, 631
393 : 1, 3, 131, 393
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,631,393,667, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
631:631
393:3x 131
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 134308584732/(1x29)
LCM = 134308584732/29
LCM = 4631330508
Thus, we can understand that the LCM of 812,631,393,667 is 4631330508.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 812, 631, 393, 667?
Answer: LCM of 812, 631, 393, 667 is 4631330508.
2. How to calculate the LCM of 812, 631, 393, 667?
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 812, 631, 393, 667.
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}.