LCM of 813, 240, 147, 498, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 240, 147, 498, 728 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, 240, 147, 498, 728. So, keep reading to learn more.
Given numbers are 813,240,147,498,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,240,147,498,728 is 3438729840.
Find LCM of 813,240,147,498,728 with Prime Factorization
| 2 | 813, 240, 147, 498, 728 |
| 2 | 813, 120, 147, 249, 364 |
| 2 | 813, 60, 147, 249, 182 |
| 3 | 813, 30, 147, 249, 91 |
| 7 | 271, 10, 49, 83, 91 |
| 271, 10, 7, 83, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 271 x 10 x 7 x 83 x 13 = 3438729840
Therefore, the lowest common multiple of 813,240,147,498,728 is 3438729840.
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 240 x 147 x 498 x 728 = 10398719036160
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
147 : 1, 3, 7, 21, 49, 147
498 : 1, 2, 3, 6, 83, 166, 249, 498
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,240,147,498,728, is 1.
Now, the common factors can be found like this.
813:3x 271
240:2x 2x 2x 2x 3x 5
147:3x 7x 7
498:2x 3x 83
728:2x 2x 2x 7x 13
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 3x 3x 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 10398719036160/(1x3024)
LCM = 10398719036160/3024
LCM = 3438729840
Thus, we can understand that the LCM of 813,240,147,498,728 is 3438729840.
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, 240, 147, 498, 728
1. What is the LCM of 813, 240, 147, 498, 728?
Answer: LCM of 813, 240, 147, 498, 728 is 3438729840.
2. How to calculate the LCM of 813, 240, 147, 498, 728?
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, 240, 147, 498, 728.
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}.