LCM of 813, 424, 247, 828, 111
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 424, 247, 828, 111 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, 424, 247, 828, 111. So, keep reading to learn more.
Given numbers are 813,424,247,828,111
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,424,247,828,111 is 217372284792.
Find LCM of 813,424,247,828,111 with Prime Factorization
| 2 | 813, 424, 247, 828, 111 |
| 2 | 813, 212, 247, 414, 111 |
| 3 | 813, 106, 247, 207, 111 |
| 271, 106, 247, 69, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 271 x 106 x 247 x 69 x 37 = 217372284792
Therefore, the lowest common multiple of 813,424,247,828,111 is 217372284792.
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 424 x 247 x 828 x 111 = 7825402252512
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
424 : 1, 2, 4, 8, 53, 106, 212, 424
247 : 1, 13, 19, 247
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
111 : 1, 3, 37, 111
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,424,247,828,111, is 1.
Now, the common factors can be found like this.
813:3x 271
424:2x 2x 2x 53
247:13x 19
828:2x 2x 3x 3x 23
111:3x 37
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 7825402252512/(1x36)
LCM = 7825402252512/36
LCM = 217372284792
Thus, we can understand that the LCM of 813,424,247,828,111 is 217372284792.
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, 424, 247, 828, 111
1. What is the LCM of 813, 424, 247, 828, 111?
Answer: LCM of 813, 424, 247, 828, 111 is 217372284792.
2. How to calculate the LCM of 813, 424, 247, 828, 111?
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, 424, 247, 828, 111.
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}.