Find the LCM of 939, 585, 416, 135 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, 585, 416, 135. So, keep reading to learn more.
Given numbers are 939,585,416,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,585,416,135 is 17578080.
Find LCM of 939,585,416,135 with Prime Factorization
3 | 939, 585, 416, 135 |
3 | 313, 195, 416, 45 |
5 | 313, 65, 416, 15 |
13 | 313, 13, 416, 3 |
313, 1, 32, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 313 x 1 x 32 x 3 = 17578080
Therefore, the lowest common multiple of 939,585,416,135 is 17578080.
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 585 x 416 x 135 = 30849530400
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
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,585,416,135, is 1.
Now, the common factors can be found like this.
939:3x 313
585:3x 3x 5x 13
416:2x 2x 2x 2x 2x 13
135:3x 3x 3x 5
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 3x 5x 13 = 1755
Therefore, the value for common factors is 1755.
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 = 30849530400/(1x1755)
LCM = 30849530400/1755
LCM = 17578080
Thus, we can understand that the LCM of 939,585,416,135 is 17578080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 939, 585, 416, 135?
Answer: LCM of 939, 585, 416, 135 is 17578080.
2. How to calculate the LCM of 939, 585, 416, 135?
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, 585, 416, 135.
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}.