Find the LCM of 304, 701, 420, 715, 810 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 304, 701, 420, 715, 810. So, keep reading to learn more.
Given numbers are 304,701,420,715,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,701,420,715,810 is 86393427120.
Find LCM of 304,701,420,715,810 with Prime Factorization
2 | 304, 701, 420, 715, 810 |
2 | 152, 701, 210, 715, 405 |
3 | 76, 701, 105, 715, 405 |
5 | 76, 701, 35, 715, 135 |
76, 701, 7, 143, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 76 x 701 x 7 x 143 x 27 = 86393427120
Therefore, the lowest common multiple of 304,701,420,715,810 is 86393427120.
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.
304 x 701 x 420 x 715 x 810 = 51836056272000
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
701 : 1, 701
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
715 : 1, 5, 11, 13, 55, 65, 143, 715
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,701,420,715,810, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
701:701
420:2x 2x 3x 5x 7
715:5x 11x 13
810:2x 3x 3x 3x 3x 5
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 51836056272000/(1x600)
LCM = 51836056272000/600
LCM = 86393427120
Thus, we can understand that the LCM of 304,701,420,715,810 is 86393427120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 701, 420, 715, 810?
Answer: LCM of 304, 701, 420, 715, 810 is 86393427120.
2. How to calculate the LCM of 304, 701, 420, 715, 810?
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 304, 701, 420, 715, 810.
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}.