Find the LCM of 306, 756, 409, 280, 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 306, 756, 409, 280, 304. So, keep reading to learn more.
Given numbers are 306,756,409,280,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,756,409,280,304 is 1997457840.
Find LCM of 306,756,409,280,304 with Prime Factorization
2 | 306, 756, 409, 280, 304 |
2 | 153, 378, 409, 140, 152 |
2 | 153, 189, 409, 70, 76 |
3 | 153, 189, 409, 35, 38 |
3 | 51, 63, 409, 35, 38 |
7 | 17, 21, 409, 35, 38 |
17, 3, 409, 5, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 17 x 3 x 409 x 5 x 38 = 1997457840
Therefore, the lowest common multiple of 306,756,409,280,304 is 1997457840.
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.
306 x 756 x 409 x 280 x 304 = 8053750010880
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
409 : 1, 409
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
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 306,756,409,280,304, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
756:2x 2x 3x 3x 3x 7
409:409
280:2x 2x 2x 5x 7
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 2x 2x 3x 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 8053750010880/(1x4032)
LCM = 8053750010880/4032
LCM = 1997457840
Thus, we can understand that the LCM of 306,756,409,280,304 is 1997457840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 306, 756, 409, 280, 304?
Answer: LCM of 306, 756, 409, 280, 304 is 1997457840.
2. How to calculate the LCM of 306, 756, 409, 280, 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 306, 756, 409, 280, 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}.