LCM of 583, 812, 813, 516, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 812, 813, 516, 648 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 583, 812, 813, 516, 648. So, keep reading to learn more.
Given numbers are 583,812,813,516,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,812,813,516,648 is 893670341256.
Find LCM of 583,812,813,516,648 with Prime Factorization
| 2 | 583, 812, 813, 516, 648 |
| 2 | 583, 406, 813, 258, 324 |
| 3 | 583, 203, 813, 129, 162 |
| 583, 203, 271, 43, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 583 x 203 x 271 x 43 x 54 = 893670341256
Therefore, the lowest common multiple of 583,812,813,516,648 is 893670341256.
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.
583 x 812 x 813 x 516 x 648 = 128688529140864
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.
583 : 1, 11, 53, 583
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
813 : 1, 3, 271, 813
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,812,813,516,648, is 1.
Now, the common factors can be found like this.
583:11x 53
812:2x 2x 7x 29
813:3x 271
516:2x 2x 3x 43
648:2x 2x 2x 3x 3x 3x 3
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 3 = 144
Therefore, the value for common factors is 144.
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 = 128688529140864/(1x144)
LCM = 128688529140864/144
LCM = 893670341256
Thus, we can understand that the LCM of 583,812,813,516,648 is 893670341256.
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FAQs on LCM of 583, 812, 813, 516, 648
1. What is the LCM of 583, 812, 813, 516, 648?
Answer: LCM of 583, 812, 813, 516, 648 is 893670341256.
2. How to calculate the LCM of 583, 812, 813, 516, 648?
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 583, 812, 813, 516, 648.
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}.