LCM of 975, 204, 825, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 204, 825, 327 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 975, 204, 825, 327. So, keep reading to learn more.
Given numbers are 975,204,825,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,204,825,327 is 79493700.
Find LCM of 975,204,825,327 with Prime Factorization
| 3 | 975, 204, 825, 327 |
| 5 | 325, 68, 275, 109 |
| 5 | 65, 68, 55, 109 |
| 13, 68, 11, 109 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 13 x 68 x 11 x 109 = 79493700
Therefore, the lowest common multiple of 975,204,825,327 is 79493700.
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.
975 x 204 x 825 x 327 = 53658247500
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
327 : 1, 3, 109, 327
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,204,825,327, is 3.
Now, the common factors can be found like this.
975:3x 5x 5x 13
204:2x 2x 3x 17
825:3x 5x 5x 11
327:3x 109
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 5x 5 = 225
Therefore, the value for common factors is 225.
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 = 53658247500/(3x225)
LCM = 53658247500/675
LCM = 79493700
Thus, we can understand that the LCM of 975,204,825,327 is 79493700.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 975, 204, 825, 327
1. What is the LCM of 975, 204, 825, 327?
Answer: LCM of 975, 204, 825, 327 is 79493700.
2. How to calculate the LCM of 975, 204, 825, 327?
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 975, 204, 825, 327.
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}.