LCM of 813, 298, 567, 973, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 298, 567, 973, 343 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 813, 298, 567, 973, 343. So, keep reading to learn more.
Given numbers are 813,298,567,973,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,298,567,973,343 is 311874232446.
Find LCM of 813,298,567,973,343 with Prime Factorization
| 3 | 813, 298, 567, 973, 343 |
| 7 | 271, 298, 189, 973, 343 |
| 271, 298, 27, 139, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 271 x 298 x 27 x 139 x 49 = 311874232446
Therefore, the lowest common multiple of 813,298,567,973,343 is 311874232446.
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.
813 x 298 x 567 x 973 x 343 = 45845512169562
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.
813 : 1, 3, 271, 813
298 : 1, 2, 149, 298
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
973 : 1, 7, 139, 973
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,298,567,973,343, is 1.
Now, the common factors can be found like this.
813:3x 271
298:2x 149
567:3x 3x 3x 3x 7
973:7x 139
343:7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7 = 147
Therefore, the value for common factors is 147.
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 = 45845512169562/(1x147)
LCM = 45845512169562/147
LCM = 311874232446
Thus, we can understand that the LCM of 813,298,567,973,343 is 311874232446.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 813, 298, 567, 973, 343
1. What is the LCM of 813, 298, 567, 973, 343?
Answer: LCM of 813, 298, 567, 973, 343 is 311874232446.
2. How to calculate the LCM of 813, 298, 567, 973, 343?
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 813, 298, 567, 973, 343.
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}.