Find the LCM of 939, 330, 429, 355, 583 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 939, 330, 429, 355, 583. So, keep reading to learn more.
Given numbers are 939,330,429,355,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,330,429,355,583 is 5052843510.
Find LCM of 939,330,429,355,583 with Prime Factorization
3 | 939, 330, 429, 355, 583 |
5 | 313, 110, 143, 355, 583 |
11 | 313, 22, 143, 71, 583 |
313, 2, 13, 71, 53 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 313 x 2 x 13 x 71 x 53 = 5052843510
Therefore, the lowest common multiple of 939,330,429,355,583 is 5052843510.
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.
939 x 330 x 429 x 355 x 583 = 27512732911950
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.
939 : 1, 3, 313, 939
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
429 : 1, 3, 11, 13, 33, 39, 143, 429
355 : 1, 5, 71, 355
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,330,429,355,583, is 1.
Now, the common factors can be found like this.
939:3x 313
330:2x 3x 5x 11
429:3x 11x 13
355:5x 71
583:11x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 11x 11 = 5445
Therefore, the value for common factors is 5445.
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 = 27512732911950/(1x5445)
LCM = 27512732911950/5445
LCM = 5052843510
Thus, we can understand that the LCM of 939,330,429,355,583 is 5052843510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 939, 330, 429, 355, 583?
Answer: LCM of 939, 330, 429, 355, 583 is 5052843510.
2. How to calculate the LCM of 939, 330, 429, 355, 583?
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 939, 330, 429, 355, 583.
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}.