LCM of 825, 246, 205, 325, 179
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 246, 205, 325, 179 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 825, 246, 205, 325, 179. So, keep reading to learn more.
Given numbers are 825,246,205,325,179
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,246,205,325,179 is 157421550.
Find LCM of 825,246,205,325,179 with Prime Factorization
| 3 | 825, 246, 205, 325, 179 |
| 5 | 275, 82, 205, 325, 179 |
| 5 | 55, 82, 41, 65, 179 |
| 41 | 11, 82, 41, 13, 179 |
| 11, 2, 1, 13, 179 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 41 x 11 x 2 x 1 x 13 x 179 = 157421550
Therefore, the lowest common multiple of 825,246,205,325,179 is 157421550.
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.
825 x 246 x 205 x 325 x 179 = 2420356331250
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
246 : 1, 2, 3, 6, 41, 82, 123, 246
205 : 1, 5, 41, 205
325 : 1, 5, 13, 25, 65, 325
179 : 1, 179
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,246,205,325,179, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
246:2x 3x 41
205:5x 41
325:5x 5x 13
179:179
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5x 41 = 15375
Therefore, the value for common factors is 15375.
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 = 2420356331250/(1x15375)
LCM = 2420356331250/15375
LCM = 157421550
Thus, we can understand that the LCM of 825,246,205,325,179 is 157421550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 825, 246, 205, 325, 179
1. What is the LCM of 825, 246, 205, 325, 179?
Answer: LCM of 825, 246, 205, 325, 179 is 157421550.
2. How to calculate the LCM of 825, 246, 205, 325, 179?
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 825, 246, 205, 325, 179.
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}.