LCM of 225, 306, 760, 323, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 306, 760, 323, 916 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, 306, 760, 323, 916. So, keep reading to learn more.
Given numbers are 225,306,760,323,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,306,760,323,916 is 133140600.
Find LCM of 225,306,760,323,916 with Prime Factorization
| 2 | 225, 306, 760, 323, 916 |
| 2 | 225, 153, 380, 323, 458 |
| 3 | 225, 153, 190, 323, 229 |
| 3 | 75, 51, 190, 323, 229 |
| 5 | 25, 17, 190, 323, 229 |
| 17 | 5, 17, 38, 323, 229 |
| 19 | 5, 1, 38, 19, 229 |
| 5, 1, 2, 1, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 17 x 19 x 5 x 1 x 2 x 1 x 229 = 133140600
Therefore, the lowest common multiple of 225,306,760,323,916 is 133140600.
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 306 x 760 x 323 x 916 = 15481588968000
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
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
323 : 1, 17, 19, 323
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,306,760,323,916, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
306:2x 3x 3x 17
760:2x 2x 2x 5x 19
323:17x 19
916:2x 2x 229
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 3x 3x 5x 17x 19 = 116280
Therefore, the value for common factors is 116280.
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 = 15481588968000/(1x116280)
LCM = 15481588968000/116280
LCM = 133140600
Thus, we can understand that the LCM of 225,306,760,323,916 is 133140600.
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FAQs on LCM of 225, 306, 760, 323, 916
1. What is the LCM of 225, 306, 760, 323, 916?
Answer: LCM of 225, 306, 760, 323, 916 is 133140600.
2. How to calculate the LCM of 225, 306, 760, 323, 916?
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, 306, 760, 323, 916.
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}.