LCM of 458, 560, 569, 300, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 458, 560, 569, 300, 205 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 458, 560, 569, 300, 205. So, keep reading to learn more.
Given numbers are 458,560,569,300,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 458,560,569,300,205 is 44875664400.
Find LCM of 458,560,569,300,205 with Prime Factorization
| 2 | 458, 560, 569, 300, 205 |
| 2 | 229, 280, 569, 150, 205 |
| 5 | 229, 140, 569, 75, 205 |
| 229, 28, 569, 15, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 229 x 28 x 569 x 15 x 41 = 44875664400
Therefore, the lowest common multiple of 458,560,569,300,205 is 44875664400.
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.
458 x 560 x 569 x 300 x 205 = 8975132880000
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.
458 : 1, 2, 229, 458
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
569 : 1, 569
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,560,569,300,205, is 1.
Now, the common factors can be found like this.
458:2x 229
560:2x 2x 2x 2x 5x 7
569:569
300:2x 2x 3x 5x 5
205:5x 41
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 8975132880000/(1x200)
LCM = 8975132880000/200
LCM = 44875664400
Thus, we can understand that the LCM of 458,560,569,300,205 is 44875664400.
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FAQs on LCM of 458, 560, 569, 300, 205
1. What is the LCM of 458, 560, 569, 300, 205?
Answer: LCM of 458, 560, 569, 300, 205 is 44875664400.
2. How to calculate the LCM of 458, 560, 569, 300, 205?
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 458, 560, 569, 300, 205.
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}.