Find the LCM of 979, 278, 209, 800, 900 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 979, 278, 209, 800, 900. So, keep reading to learn more.
Given numbers are 979,278,209,800,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,278,209,800,900 is 18615880800.
Find LCM of 979,278,209,800,900 with Prime Factorization
2 | 979, 278, 209, 800, 900 |
2 | 979, 139, 209, 400, 450 |
5 | 979, 139, 209, 200, 225 |
5 | 979, 139, 209, 40, 45 |
11 | 979, 139, 209, 8, 9 |
89, 139, 19, 8, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 11 x 89 x 139 x 19 x 8 x 9 = 18615880800
Therefore, the lowest common multiple of 979,278,209,800,900 is 18615880800.
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.
979 x 278 x 209 x 800 x 900 = 40954937760000
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.
979 : 1, 11, 89, 979
278 : 1, 2, 139, 278
209 : 1, 11, 19, 209
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,278,209,800,900, is 1.
Now, the common factors can be found like this.
979:11x 89
278:2x 139
209:11x 19
800:2x 2x 2x 2x 2x 5x 5
900:2x 2x 3x 3x 5x 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 5x 5x 11 = 2200
Therefore, the value for common factors is 2200.
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 = 40954937760000/(1x2200)
LCM = 40954937760000/2200
LCM = 18615880800
Thus, we can understand that the LCM of 979,278,209,800,900 is 18615880800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 979, 278, 209, 800, 900?
Answer: LCM of 979, 278, 209, 800, 900 is 18615880800.
2. How to calculate the LCM of 979, 278, 209, 800, 900?
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 979, 278, 209, 800, 900.
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}.