Find the LCM of 969, 675, 204, 225 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 969, 675, 204, 225. So, keep reading to learn more.
Given numbers are 969,675,204,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,675,204,225 is 872100.
Find LCM of 969,675,204,225 with Prime Factorization
3 | 969, 675, 204, 225 |
3 | 323, 225, 68, 75 |
5 | 323, 25, 68, 75 |
5 | 323, 5, 68, 15 |
17 | 323, 1, 68, 3 |
19, 1, 4, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 5 x 17 x 19 x 1 x 4 x 3 = 872100
Therefore, the lowest common multiple of 969,675,204,225 is 872100.
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.
969 x 675 x 204 x 225 = 30022042500
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,675,204,225, is 3.
Now, the common factors can be found like this.
969:3x 17x 19
675:3x 3x 3x 5x 5
204:2x 2x 3x 17
225:3x 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.
3x 3x 3x 5x 5x 17 = 11475
Therefore, the value for common factors is 11475.
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 = 30022042500/(3x11475)
LCM = 30022042500/34425
LCM = 872100
Thus, we can understand that the LCM of 969,675,204,225 is 872100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 675, 204, 225?
Answer: LCM of 969, 675, 204, 225 is 872100.
2. How to calculate the LCM of 969, 675, 204, 225?
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 969, 675, 204, 225.
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}.