LCM of 813, 456, 992, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 456, 992, 544 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, 456, 992, 544. So, keep reading to learn more.
Given numbers are 813,456,992,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,456,992,544 is 260498208.
Find LCM of 813,456,992,544 with Prime Factorization
| 2 | 813, 456, 992, 544 |
| 2 | 813, 228, 496, 272 |
| 2 | 813, 114, 248, 136 |
| 2 | 813, 57, 124, 68 |
| 2 | 813, 57, 62, 34 |
| 3 | 813, 57, 31, 17 |
| 271, 19, 31, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 271 x 19 x 31 x 17 = 260498208
Therefore, the lowest common multiple of 813,456,992,544 is 260498208.
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 456 x 992 x 544 = 200062623744
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,456,992,544, is 1.
Now, the common factors can be found like this.
813:3x 271
456:2x 2x 2x 3x 19
992:2x 2x 2x 2x 2x 31
544:2x 2x 2x 2x 2x 17
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 2x 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 200062623744/(1x768)
LCM = 200062623744/768
LCM = 260498208
Thus, we can understand that the LCM of 813,456,992,544 is 260498208.
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FAQs on LCM of 813, 456, 992, 544
1. What is the LCM of 813, 456, 992, 544?
Answer: LCM of 813, 456, 992, 544 is 260498208.
2. How to calculate the LCM of 813, 456, 992, 544?
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, 456, 992, 544.
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}.