LCM of 344, 813, 172, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 813, 172, 984 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 344, 813, 172, 984. So, keep reading to learn more.
Given numbers are 344,813,172,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,813,172,984 is 11466552.
Find LCM of 344,813,172,984 with Prime Factorization
| 2 | 344, 813, 172, 984 |
| 2 | 172, 813, 86, 492 |
| 2 | 43, 813, 86, 246 |
| 3 | 43, 813, 43, 123 |
| 43 | 43, 271, 43, 41 |
| 1, 271, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 43 x 1 x 271 x 1 x 41 = 11466552
Therefore, the lowest common multiple of 344,813,172,984 is 11466552.
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.
344 x 813 x 172 x 984 = 47333926656
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
813 : 1, 3, 271, 813
172 : 1, 2, 4, 43, 86, 172
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,813,172,984, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
813:3x 271
172:2x 2x 43
984:2x 2x 2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 43 = 4128
Therefore, the value for common factors is 4128.
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 = 47333926656/(1x4128)
LCM = 47333926656/4128
LCM = 11466552
Thus, we can understand that the LCM of 344,813,172,984 is 11466552.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 344, 813, 172, 984
1. What is the LCM of 344, 813, 172, 984?
Answer: LCM of 344, 813, 172, 984 is 11466552.
2. How to calculate the LCM of 344, 813, 172, 984?
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 344, 813, 172, 984.
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}.