Find the LCM of 324, 980, 380, 380, 392 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 324, 980, 380, 380, 392. So, keep reading to learn more.
Given numbers are 324,980,380,380,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,980,380,380,392 is 3016440.
Find LCM of 324,980,380,380,392 with Prime Factorization
2 | 324, 980, 380, 380, 392 |
2 | 162, 490, 190, 190, 196 |
5 | 81, 245, 95, 95, 98 |
7 | 81, 49, 19, 19, 98 |
7 | 81, 7, 19, 19, 14 |
19 | 81, 1, 19, 19, 2 |
81, 1, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 7 x 19 x 81 x 1 x 1 x 1 x 2 = 3016440
Therefore, the lowest common multiple of 324,980,380,380,392 is 3016440.
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.
324 x 980 x 380 x 380 x 392 = 17973156096000
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.
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,980,380,380,392, is 4.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
980:2x 2x 5x 7x 7
380:2x 2x 5x 19
380:2x 2x 5x 19
392:2x 2x 2x 7x 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 5x 5x 7x 7x 19 = 1489600
Therefore, the value for common factors is 1489600.
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 = 17973156096000/(4x1489600)
LCM = 17973156096000/5958400
LCM = 3016440
Thus, we can understand that the LCM of 324,980,380,380,392 is 3016440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 324, 980, 380, 380, 392?
Answer: LCM of 324, 980, 380, 380, 392 is 3016440.
2. How to calculate the LCM of 324, 980, 380, 380, 392?
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 324, 980, 380, 380, 392.
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}.