Find the LCM of 338, 480, 412, 301, 840 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 338, 480, 412, 301, 840. So, keep reading to learn more.
Given numbers are 338,480,412,301,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,480,412,301,840 is 2514963360.
Find LCM of 338,480,412,301,840 with Prime Factorization
2 | 338, 480, 412, 301, 840 |
2 | 169, 240, 206, 301, 420 |
2 | 169, 120, 103, 301, 210 |
3 | 169, 60, 103, 301, 105 |
5 | 169, 20, 103, 301, 35 |
7 | 169, 4, 103, 301, 7 |
169, 4, 103, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 169 x 4 x 103 x 43 x 1 = 2514963360
Therefore, the lowest common multiple of 338,480,412,301,840 is 2514963360.
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.
338 x 480 x 412 x 301 x 840 = 16900553779200
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.
338 : 1, 2, 13, 26, 169, 338
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
412 : 1, 2, 4, 103, 206, 412
301 : 1, 7, 43, 301
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,480,412,301,840, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
480:2x 2x 2x 2x 2x 3x 5
412:2x 2x 103
301:7x 43
840:2x 2x 2x 3x 5x 7
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 2x 2x 2x 2x 3x 5x 7 = 6720
Therefore, the value for common factors is 6720.
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 = 16900553779200/(1x6720)
LCM = 16900553779200/6720
LCM = 2514963360
Thus, we can understand that the LCM of 338,480,412,301,840 is 2514963360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 480, 412, 301, 840?
Answer: LCM of 338, 480, 412, 301, 840 is 2514963360.
2. How to calculate the LCM of 338, 480, 412, 301, 840?
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 338, 480, 412, 301, 840.
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}.