LCM of 480, 256, 414, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 256, 414, 752 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, 256, 414, 752. So, keep reading to learn more.
Given numbers are 480,256,414,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,256,414,752 is 12453120.
Find LCM of 480,256,414,752 with Prime Factorization
| 2 | 480, 256, 414, 752 |
| 2 | 240, 128, 207, 376 |
| 2 | 120, 64, 207, 188 |
| 2 | 60, 32, 207, 94 |
| 2 | 30, 16, 207, 47 |
| 3 | 15, 8, 207, 47 |
| 5, 8, 69, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 8 x 69 x 47 = 12453120
Therefore, the lowest common multiple of 480,256,414,752 is 12453120.
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 256 x 414 x 752 = 38255984640
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
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,256,414,752, is 2.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
256:2x 2x 2x 2x 2x 2x 2x 2
414:2x 3x 3x 23
752:2x 2x 2x 2x 47
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 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 38255984640/(2x1536)
LCM = 38255984640/3072
LCM = 12453120
Thus, we can understand that the LCM of 480,256,414,752 is 12453120.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 480, 256, 414, 752
1. What is the LCM of 480, 256, 414, 752?
Answer: LCM of 480, 256, 414, 752 is 12453120.
2. How to calculate the LCM of 480, 256, 414, 752?
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, 256, 414, 752.
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}.