LCM of 481, 814, 285, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 814, 285, 414 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 481, 814, 285, 414. So, keep reading to learn more.
Given numbers are 481,814,285,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,814,285,414 is 208095030.
Find LCM of 481,814,285,414 with Prime Factorization
| 2 | 481, 814, 285, 414 |
| 3 | 481, 407, 285, 207 |
| 37 | 481, 407, 95, 69 |
| 13, 11, 95, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 13 x 11 x 95 x 69 = 208095030
Therefore, the lowest common multiple of 481,814,285,414 is 208095030.
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.
481 x 814 x 285 x 414 = 46197096660
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.
481 : 1, 13, 37, 481
814 : 1, 2, 11, 22, 37, 74, 407, 814
285 : 1, 3, 5, 15, 19, 57, 95, 285
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,814,285,414, is 1.
Now, the common factors can be found like this.
481:13x 37
814:2x 11x 37
285:3x 5x 19
414:2x 3x 3x 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 3x 37 = 222
Therefore, the value for common factors is 222.
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 = 46197096660/(1x222)
LCM = 46197096660/222
LCM = 208095030
Thus, we can understand that the LCM of 481,814,285,414 is 208095030.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 481, 814, 285, 414
1. What is the LCM of 481, 814, 285, 414?
Answer: LCM of 481, 814, 285, 414 is 208095030.
2. How to calculate the LCM of 481, 814, 285, 414?
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 481, 814, 285, 414.
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}.