LCM of 225, 898, 306, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 898, 306, 578 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 225, 898, 306, 578. So, keep reading to learn more.
Given numbers are 225,898,306,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,898,306,578 is 58392450.
Find LCM of 225,898,306,578 with Prime Factorization
| 2 | 225, 898, 306, 578 |
| 3 | 225, 449, 153, 289 |
| 3 | 75, 449, 51, 289 |
| 17 | 25, 449, 17, 289 |
| 25, 449, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 25 x 449 x 1 x 17 = 58392450
Therefore, the lowest common multiple of 225,898,306,578 is 58392450.
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.
225 x 898 x 306 x 578 = 35736179400
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
898 : 1, 2, 449, 898
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,898,306,578, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
898:2x 449
306:2x 3x 3x 17
578:2x 17x 17
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 3x 3x 17 = 612
Therefore, the value for common factors is 612.
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 = 35736179400/(1x612)
LCM = 35736179400/612
LCM = 58392450
Thus, we can understand that the LCM of 225,898,306,578 is 58392450.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 225, 898, 306, 578
1. What is the LCM of 225, 898, 306, 578?
Answer: LCM of 225, 898, 306, 578 is 58392450.
2. How to calculate the LCM of 225, 898, 306, 578?
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 225, 898, 306, 578.
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}.