LCM of 481, 208, 424, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 208, 424, 705 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, 208, 424, 705. So, keep reading to learn more.
Given numbers are 481,208,424,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,208,424,705 is 287561040.
Find LCM of 481,208,424,705 with Prime Factorization
| 2 | 481, 208, 424, 705 |
| 2 | 481, 104, 212, 705 |
| 2 | 481, 52, 106, 705 |
| 13 | 481, 26, 53, 705 |
| 37, 2, 53, 705 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 37 x 2 x 53 x 705 = 287561040
Therefore, the lowest common multiple of 481,208,424,705 is 287561040.
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 208 x 424 x 705 = 29906348160
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
424 : 1, 2, 4, 8, 53, 106, 212, 424
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,208,424,705, is 1.
Now, the common factors can be found like this.
481:13x 37
208:2x 2x 2x 2x 13
424:2x 2x 2x 53
705:3x 5x 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 13 = 104
Therefore, the value for common factors is 104.
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 = 29906348160/(1x104)
LCM = 29906348160/104
LCM = 287561040
Thus, we can understand that the LCM of 481,208,424,705 is 287561040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 481, 208, 424, 705
1. What is the LCM of 481, 208, 424, 705?
Answer: LCM of 481, 208, 424, 705 is 287561040.
2. How to calculate the LCM of 481, 208, 424, 705?
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, 208, 424, 705.
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}.