Find the LCM of 366, 509, 312, 304 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 366, 509, 312, 304. So, keep reading to learn more.
Given numbers are 366,509,312,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,509,312,304 is 368116944.
Find LCM of 366,509,312,304 with Prime Factorization
2 | 366, 509, 312, 304 |
2 | 183, 509, 156, 152 |
2 | 183, 509, 78, 76 |
3 | 183, 509, 39, 38 |
61, 509, 13, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 61 x 509 x 13 x 38 = 368116944
Therefore, the lowest common multiple of 366,509,312,304 is 368116944.
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.
366 x 509 x 312 x 304 = 17669613312
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
509 : 1, 509
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,509,312,304, is 1.
Now, the common factors can be found like this.
366:2x 3x 61
509:509
312:2x 2x 2x 3x 13
304:2x 2x 2x 2x 19
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 3 = 48
Therefore, the value for common factors is 48.
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 = 17669613312/(1x48)
LCM = 17669613312/48
LCM = 368116944
Thus, we can understand that the LCM of 366,509,312,304 is 368116944.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 366, 509, 312, 304?
Answer: LCM of 366, 509, 312, 304 is 368116944.
2. How to calculate the LCM of 366, 509, 312, 304?
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 366, 509, 312, 304.
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}.