LCM of 479, 912, 444, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 912, 444, 456 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 479, 912, 444, 456. So, keep reading to learn more.
Given numbers are 479,912,444,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,912,444,456 is 16163376.
Find LCM of 479,912,444,456 with Prime Factorization
| 2 | 479, 912, 444, 456 |
| 2 | 479, 456, 222, 228 |
| 2 | 479, 114, 111, 228 |
| 3 | 479, 57, 111, 114 |
| 19 | 479, 19, 37, 38 |
| 479, 1, 37, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 479 x 1 x 37 x 2 = 16163376
Therefore, the lowest common multiple of 479,912,444,456 is 16163376.
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.
479 x 912 x 444 x 456 = 88445993472
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.
479 : 1, 479
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,912,444,456, is 1.
Now, the common factors can be found like this.
479:479
912:2x 2x 2x 2x 3x 19
444:2x 2x 3x 37
456:2x 2x 2x 3x 19
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 3x 3x 19 = 5472
Therefore, the value for common factors is 5472.
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 = 88445993472/(1x5472)
LCM = 88445993472/5472
LCM = 16163376
Thus, we can understand that the LCM of 479,912,444,456 is 16163376.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 479, 912, 444, 456
1. What is the LCM of 479, 912, 444, 456?
Answer: LCM of 479, 912, 444, 456 is 16163376.
2. How to calculate the LCM of 479, 912, 444, 456?
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 479, 912, 444, 456.
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}.