Find the LCM of 418, 319, 923, 413 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 418, 319, 923, 413. So, keep reading to learn more.
Given numbers are 418,319,923,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,319,923,413 is 4620894278.
Find LCM of 418,319,923,413 with Prime Factorization
11 | 418, 319, 923, 413 |
38, 29, 923, 413 |
Multiply the prime numbers at the bottom and the left side.
11 x 38 x 29 x 923 x 413 = 4620894278
Therefore, the lowest common multiple of 418,319,923,413 is 4620894278.
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.
418 x 319 x 923 x 413 = 50829837058
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
319 : 1, 11, 29, 319
923 : 1, 13, 71, 923
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,319,923,413, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
319:11x 29
923:13x 71
413:7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 50829837058/(1x11)
LCM = 50829837058/11
LCM = 4620894278
Thus, we can understand that the LCM of 418,319,923,413 is 4620894278.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 319, 923, 413?
Answer: LCM of 418, 319, 923, 413 is 4620894278.
2. How to calculate the LCM of 418, 319, 923, 413?
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 418, 319, 923, 413.
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}.