LCM of 480, 825, 459, 271, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 825, 459, 271, 612 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 480, 825, 459, 271, 612. So, keep reading to learn more.
Given numbers are 480,825,459,271,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,825,459,271,612 is 1094623200.
Find LCM of 480,825,459,271,612 with Prime Factorization
| 2 | 480, 825, 459, 271, 612 |
| 2 | 240, 825, 459, 271, 306 |
| 3 | 120, 825, 459, 271, 153 |
| 3 | 40, 275, 51, 271, 153 |
| 5 | 40, 275, 17, 271, 51 |
| 17 | 8, 55, 17, 271, 51 |
| 8, 55, 1, 271, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 17 x 8 x 55 x 1 x 271 x 3 = 1094623200
Therefore, the lowest common multiple of 480,825,459,271,612 is 1094623200.
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.
480 x 825 x 459 x 271 x 612 = 30145922928000
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
459 : 1, 3, 9, 17, 27, 51, 153, 459
271 : 1, 271
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,825,459,271,612, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
825:3x 5x 5x 11
459:3x 3x 3x 17
271:271
612:2x 2x 3x 3x 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 3x 3x 3x 5x 17 = 27540
Therefore, the value for common factors is 27540.
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 = 30145922928000/(1x27540)
LCM = 30145922928000/27540
LCM = 1094623200
Thus, we can understand that the LCM of 480,825,459,271,612 is 1094623200.
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FAQs on LCM of 480, 825, 459, 271, 612
1. What is the LCM of 480, 825, 459, 271, 612?
Answer: LCM of 480, 825, 459, 271, 612 is 1094623200.
2. How to calculate the LCM of 480, 825, 459, 271, 612?
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 480, 825, 459, 271, 612.
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}.