LCM of 416, 479, 208, 463, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 479, 208, 463, 325 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 416, 479, 208, 463, 325. So, keep reading to learn more.
Given numbers are 416,479,208,463,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,479,208,463,325 is 2306480800.
Find LCM of 416,479,208,463,325 with Prime Factorization
| 2 | 416, 479, 208, 463, 325 |
| 2 | 208, 479, 104, 463, 325 |
| 2 | 52, 479, 104, 463, 325 |
| 2 | 26, 479, 52, 463, 325 |
| 13 | 13, 479, 26, 463, 325 |
| 1, 479, 2, 463, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 1 x 479 x 2 x 463 x 25 = 2306480800
Therefore, the lowest common multiple of 416,479,208,463,325 is 2306480800.
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.
416 x 479 x 208 x 463 x 325 = 6236724083200
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
479 : 1, 479
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
463 : 1, 463
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,479,208,463,325, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
479:479
208:2x 2x 2x 2x 13
463:463
325:5x 5x 13
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 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 6236724083200/(1x2704)
LCM = 6236724083200/2704
LCM = 2306480800
Thus, we can understand that the LCM of 416,479,208,463,325 is 2306480800.
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FAQs on LCM of 416, 479, 208, 463, 325
1. What is the LCM of 416, 479, 208, 463, 325?
Answer: LCM of 416, 479, 208, 463, 325 is 2306480800.
2. How to calculate the LCM of 416, 479, 208, 463, 325?
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 416, 479, 208, 463, 325.
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}.