Find the LCM of 847, 305, 180, 854 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 847, 305, 180, 854. So, keep reading to learn more.
Given numbers are 847,305,180,854
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,305,180,854 is 9300060.
Find LCM of 847,305,180,854 with Prime Factorization
2 | 847, 305, 180, 854 |
5 | 847, 305, 90, 427 |
7 | 847, 61, 18, 427 |
61 | 121, 61, 18, 61 |
121, 1, 18, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 61 x 121 x 1 x 18 x 1 = 9300060
Therefore, the lowest common multiple of 847,305,180,854 is 9300060.
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.
847 x 305 x 180 x 854 = 39711256200
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.
847 : 1, 7, 11, 77, 121, 847
305 : 1, 5, 61, 305
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
854 : 1, 2, 7, 14, 61, 122, 427, 854
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,305,180,854, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
305:5x 61
180:2x 2x 3x 3x 5
854:2x 7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 61 = 4270
Therefore, the value for common factors is 4270.
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 = 39711256200/(1x4270)
LCM = 39711256200/4270
LCM = 9300060
Thus, we can understand that the LCM of 847,305,180,854 is 9300060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 847, 305, 180, 854?
Answer: LCM of 847, 305, 180, 854 is 9300060.
2. How to calculate the LCM of 847, 305, 180, 854?
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 847, 305, 180, 854.
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}.