Find the LCM of 479, 494, 304, 418 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, 494, 304, 418. So, keep reading to learn more.
Given numbers are 479,494,304,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,494,304,418 is 20823088.
Find LCM of 479,494,304,418 with Prime Factorization
2 | 479, 494, 304, 418 |
19 | 479, 247, 152, 209 |
479, 13, 8, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 479 x 13 x 8 x 11 = 20823088
Therefore, the lowest common multiple of 479,494,304,418 is 20823088.
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 494 x 304 x 418 = 30068539072
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
494 : 1, 2, 13, 19, 26, 38, 247, 494
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,494,304,418, is 1.
Now, the common factors can be found like this.
479:479
494:2x 13x 19
304:2x 2x 2x 2x 19
418:2x 11x 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 19x 19 = 1444
Therefore, the value for common factors is 1444.
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 = 30068539072/(1x1444)
LCM = 30068539072/1444
LCM = 20823088
Thus, we can understand that the LCM of 479,494,304,418 is 20823088.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 479, 494, 304, 418?
Answer: LCM of 479, 494, 304, 418 is 20823088.
2. How to calculate the LCM of 479, 494, 304, 418?
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, 494, 304, 418.
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}.