LCM of 569, 454, 180, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 569, 454, 180, 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 569, 454, 180, 255. So, keep reading to learn more.
Given numbers are 569,454,180,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,454,180,255 is 395238780.
Find LCM of 569,454,180,255 with Prime Factorization
| 2 | 569, 454, 180, 255 |
| 3 | 569, 227, 90, 255 |
| 5 | 569, 227, 30, 85 |
| 569, 227, 6, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 569 x 227 x 6 x 17 = 395238780
Therefore, the lowest common multiple of 569,454,180,255 is 395238780.
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.
569 x 454 x 180 x 255 = 11857163400
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.
569 : 1, 569
454 : 1, 2, 227, 454
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
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 569,454,180,255, is 1.
Now, the common factors can be found like this.
569:569
454:2x 227
180:2x 2x 3x 3x 5
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 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 11857163400/(1x30)
LCM = 11857163400/30
LCM = 395238780
Thus, we can understand that the LCM of 569,454,180,255 is 395238780.
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FAQs on LCM of 569, 454, 180, 255
1. What is the LCM of 569, 454, 180, 255?
Answer: LCM of 569, 454, 180, 255 is 395238780.
2. How to calculate the LCM of 569, 454, 180, 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 569, 454, 180, 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}.