LCM of 479, 496, 479, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 496, 479, 348 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, 496, 479, 348. So, keep reading to learn more.
Given numbers are 479,496,479,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,496,479,348 is 20669808.
Find LCM of 479,496,479,348 with Prime Factorization
| 2 | 479, 496, 479, 348 |
| 2 | 479, 248, 479, 174 |
| 479 | 479, 124, 479, 87 |
| 1, 124, 1, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 479 x 1 x 124 x 1 x 87 = 20669808
Therefore, the lowest common multiple of 479,496,479,348 is 20669808.
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 496 x 479 x 348 = 39603352128
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
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
479 : 1, 479
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,496,479,348, is 1.
Now, the common factors can be found like this.
479:479
496:2x 2x 2x 2x 31
479:479
348:2x 2x 3x 29
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 479 = 1916
Therefore, the value for common factors is 1916.
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 = 39603352128/(1x1916)
LCM = 39603352128/1916
LCM = 20669808
Thus, we can understand that the LCM of 479,496,479,348 is 20669808.
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FAQs on LCM of 479, 496, 479, 348
1. What is the LCM of 479, 496, 479, 348?
Answer: LCM of 479, 496, 479, 348 is 20669808.
2. How to calculate the LCM of 479, 496, 479, 348?
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, 496, 479, 348.
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}.