LCM of 730, 225, 696, 116, 908
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 225, 696, 116, 908 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 730, 225, 696, 116, 908. So, keep reading to learn more.
Given numbers are 730,225,696,116,908
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,225,696,116,908 is 865006200.
Find LCM of 730,225,696,116,908 with Prime Factorization
| 2 | 730, 225, 696, 116, 908 |
| 2 | 365, 225, 348, 58, 454 |
| 3 | 365, 225, 174, 29, 227 |
| 5 | 365, 75, 58, 29, 227 |
| 29 | 73, 15, 58, 29, 227 |
| 73, 15, 2, 1, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 73 x 15 x 2 x 1 x 227 = 865006200
Therefore, the lowest common multiple of 730,225,696,116,908 is 865006200.
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.
730 x 225 x 696 x 116 x 908 = 12040886304000
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
116 : 1, 2, 4, 29, 58, 116
908 : 1, 2, 4, 227, 454, 908
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,225,696,116,908, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
225:3x 3x 5x 5
696:2x 2x 2x 3x 29
116:2x 2x 29
908:2x 2x 227
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 2x 2x 3x 5x 29 = 13920
Therefore, the value for common factors is 13920.
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 = 12040886304000/(1x13920)
LCM = 12040886304000/13920
LCM = 865006200
Thus, we can understand that the LCM of 730,225,696,116,908 is 865006200.
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FAQs on LCM of 730, 225, 696, 116, 908
1. What is the LCM of 730, 225, 696, 116, 908?
Answer: LCM of 730, 225, 696, 116, 908 is 865006200.
2. How to calculate the LCM of 730, 225, 696, 116, 908?
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 730, 225, 696, 116, 908.
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}.