LCM of 748, 520, 559, 813, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 520, 559, 813, 255 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 748, 520, 559, 813, 255. So, keep reading to learn more.
Given numbers are 748,520,559,813,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,520,559,813,255 is 3399413160.
Find LCM of 748,520,559,813,255 with Prime Factorization
| 2 | 748, 520, 559, 813, 255 |
| 2 | 374, 260, 559, 813, 255 |
| 3 | 187, 130, 559, 813, 255 |
| 5 | 187, 130, 559, 271, 85 |
| 13 | 187, 26, 559, 271, 17 |
| 17 | 187, 2, 43, 271, 17 |
| 11, 2, 43, 271, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 17 x 11 x 2 x 43 x 271 x 1 = 3399413160
Therefore, the lowest common multiple of 748,520,559,813,255 is 3399413160.
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.
748 x 520 x 559 x 813 x 255 = 45076218501600
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
559 : 1, 13, 43, 559
813 : 1, 3, 271, 813
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,520,559,813,255, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
520:2x 2x 2x 5x 13
559:13x 43
813:3x 271
255:3x 5x 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 3x 5x 13x 17 = 13260
Therefore, the value for common factors is 13260.
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 = 45076218501600/(1x13260)
LCM = 45076218501600/13260
LCM = 3399413160
Thus, we can understand that the LCM of 748,520,559,813,255 is 3399413160.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 748, 520, 559, 813, 255
1. What is the LCM of 748, 520, 559, 813, 255?
Answer: LCM of 748, 520, 559, 813, 255 is 3399413160.
2. How to calculate the LCM of 748, 520, 559, 813, 255?
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 748, 520, 559, 813, 255.
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}.