Find the LCM of 321, 914, 135, 975, 520 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 321, 914, 135, 975, 520. So, keep reading to learn more.
Given numbers are 321,914,135,975,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,914,135,975,520 is 3432709800.
Find LCM of 321,914,135,975,520 with Prime Factorization
2 | 321, 914, 135, 975, 520 |
3 | 321, 457, 135, 975, 260 |
5 | 107, 457, 45, 325, 260 |
13 | 107, 457, 9, 65, 52 |
107, 457, 9, 5, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 107 x 457 x 9 x 5 x 4 = 3432709800
Therefore, the lowest common multiple of 321,914,135,975,520 is 3432709800.
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.
321 x 914 x 135 x 975 x 520 = 20081352330000
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.
321 : 1, 3, 107, 321
914 : 1, 2, 457, 914
135 : 1, 3, 5, 9, 15, 27, 45, 135
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,914,135,975,520, is 1.
Now, the common factors can be found like this.
321:3x 107
914:2x 457
135:3x 3x 3x 5
975:3x 5x 5x 13
520:2x 2x 2x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 13 = 5850
Therefore, the value for common factors is 5850.
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 = 20081352330000/(1x5850)
LCM = 20081352330000/5850
LCM = 3432709800
Thus, we can understand that the LCM of 321,914,135,975,520 is 3432709800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 914, 135, 975, 520?
Answer: LCM of 321, 914, 135, 975, 520 is 3432709800.
2. How to calculate the LCM of 321, 914, 135, 975, 520?
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 321, 914, 135, 975, 520.
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}.