LCM of 228, 756, 480, 259, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 756, 480, 259, 460 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 228, 756, 480, 259, 460. So, keep reading to learn more.
Given numbers are 228,756,480,259,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,756,480,259,460 is 488950560.
Find LCM of 228,756,480,259,460 with Prime Factorization
| 2 | 228, 756, 480, 259, 460 |
| 2 | 114, 378, 240, 259, 230 |
| 3 | 57, 189, 120, 259, 115 |
| 5 | 19, 63, 40, 259, 115 |
| 7 | 19, 63, 8, 259, 23 |
| 19, 9, 8, 37, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 19 x 9 x 8 x 37 x 23 = 488950560
Therefore, the lowest common multiple of 228,756,480,259,460 is 488950560.
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.
228 x 756 x 480 x 259 x 460 = 9857243289600
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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
259 : 1, 7, 37, 259
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,756,480,259,460, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
756:2x 2x 3x 3x 3x 7
480:2x 2x 2x 2x 2x 3x 5
259:7x 37
460:2x 2x 5x 23
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 2x 2x 3x 3x 5x 7 = 20160
Therefore, the value for common factors is 20160.
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 = 9857243289600/(1x20160)
LCM = 9857243289600/20160
LCM = 488950560
Thus, we can understand that the LCM of 228,756,480,259,460 is 488950560.
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FAQs on LCM of 228, 756, 480, 259, 460
1. What is the LCM of 228, 756, 480, 259, 460?
Answer: LCM of 228, 756, 480, 259, 460 is 488950560.
2. How to calculate the LCM of 228, 756, 480, 259, 460?
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 228, 756, 480, 259, 460.
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}.