Find the LCM of 819, 820, 675, 114 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 819, 820, 675, 114. So, keep reading to learn more.
Given numbers are 819,820,675,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,820,675,114 is 191400300.
Find LCM of 819,820,675,114 with Prime Factorization
2 | 819, 820, 675, 114 |
3 | 819, 410, 675, 57 |
3 | 273, 410, 225, 19 |
5 | 91, 410, 75, 19 |
91, 82, 15, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 91 x 82 x 15 x 19 = 191400300
Therefore, the lowest common multiple of 819,820,675,114 is 191400300.
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.
819 x 820 x 675 x 114 = 51678081000
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,820,675,114, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
820:2x 2x 5x 41
675:3x 3x 3x 5x 5
114:2x 3x 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 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 51678081000/(1x270)
LCM = 51678081000/270
LCM = 191400300
Thus, we can understand that the LCM of 819,820,675,114 is 191400300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 819, 820, 675, 114?
Answer: LCM of 819, 820, 675, 114 is 191400300.
2. How to calculate the LCM of 819, 820, 675, 114?
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 819, 820, 675, 114.
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}.