Find the LCM of 331, 718, 623, 204 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 331, 718, 623, 204. So, keep reading to learn more.
Given numbers are 331,718,623,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 331,718,623,204 is 15102215268.
Find LCM of 331,718,623,204 with Prime Factorization
2 | 331, 718, 623, 204 |
331, 359, 623, 102 |
Multiply the prime numbers at the bottom and the left side.
2 x 331 x 359 x 623 x 102 = 15102215268
Therefore, the lowest common multiple of 331,718,623,204 is 15102215268.
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.
331 x 718 x 623 x 204 = 30204430536
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.
331 : 1, 331
718 : 1, 2, 359, 718
623 : 1, 7, 89, 623
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,718,623,204, is 1.
Now, the common factors can be found like this.
331:331
718:2x 359
623:7x 89
204:2x 2x 3x 17
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 = 30204430536/(1x2)
LCM = 30204430536/2
LCM = 15102215268
Thus, we can understand that the LCM of 331,718,623,204 is 15102215268.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 331, 718, 623, 204?
Answer: LCM of 331, 718, 623, 204 is 15102215268.
2. How to calculate the LCM of 331, 718, 623, 204?
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 331, 718, 623, 204.
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}.