Find the LCM of 306, 794, 300, 634, 634 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, 794, 300, 634, 634. So, keep reading to learn more.
Given numbers are 306,794,300,634,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,794,300,634,634 is 1925489700.
Find LCM of 306,794,300,634,634 with Prime Factorization
2 | 306, 794, 300, 634, 634 |
3 | 153, 397, 150, 317, 317 |
317 | 51, 397, 50, 317, 317 |
51, 397, 50, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 317 x 51 x 397 x 50 x 1 x 1 = 1925489700
Therefore, the lowest common multiple of 306,794,300,634,634 is 1925489700.
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 794 x 300 x 634 x 634 = 29298251275200
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
794 : 1, 2, 397, 794
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
634 : 1, 2, 317, 634
634 : 1, 2, 317, 634
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,794,300,634,634, is 2.
Now, the common factors can be found like this.
306:2x 3x 3x 17
794:2x 397
300:2x 2x 3x 5x 5
634:2x 317
634:2x 317
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 3x 317 = 7608
Therefore, the value for common factors is 7608.
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 = 29298251275200/(2x7608)
LCM = 29298251275200/15216
LCM = 1925489700
Thus, we can understand that the LCM of 306,794,300,634,634 is 1925489700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 306, 794, 300, 634, 634?
Answer: LCM of 306, 794, 300, 634, 634 is 1925489700.
2. How to calculate the LCM of 306, 794, 300, 634, 634?
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, 794, 300, 634, 634.
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}.