LCM of 578, 550, 505, 268, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 550, 505, 268, 560 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 578, 550, 505, 268, 560. So, keep reading to learn more.
Given numbers are 578,550,505,268,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,550,505,268,560 is 60234420400.
Find LCM of 578,550,505,268,560 with Prime Factorization
| 2 | 578, 550, 505, 268, 560 |
| 2 | 289, 275, 505, 134, 280 |
| 5 | 289, 275, 505, 67, 140 |
| 289, 55, 101, 67, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 289 x 55 x 101 x 67 x 28 = 60234420400
Therefore, the lowest common multiple of 578,550,505,268,560 is 60234420400.
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.
578 x 550 x 505 x 268 x 560 = 24093768160000
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.
578 : 1, 2, 17, 34, 289, 578
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
505 : 1, 5, 101, 505
268 : 1, 2, 4, 67, 134, 268
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,550,505,268,560, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
550:2x 5x 5x 11
505:5x 101
268:2x 2x 67
560:2x 2x 2x 2x 5x 7
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 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 24093768160000/(1x400)
LCM = 24093768160000/400
LCM = 60234420400
Thus, we can understand that the LCM of 578,550,505,268,560 is 60234420400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 578, 550, 505, 268, 560
1. What is the LCM of 578, 550, 505, 268, 560?
Answer: LCM of 578, 550, 505, 268, 560 is 60234420400.
2. How to calculate the LCM of 578, 550, 505, 268, 560?
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 578, 550, 505, 268, 560.
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}.