LCM of 227, 908, 508, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 908, 508, 736 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 227, 908, 508, 736. So, keep reading to learn more.
Given numbers are 227,908,508,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,908,508,736 is 21218144.
Find LCM of 227,908,508,736 with Prime Factorization
| 2 | 227, 908, 508, 736 |
| 2 | 227, 454, 254, 368 |
| 227 | 227, 227, 127, 184 |
| 1, 1, 127, 184 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 227 x 1 x 1 x 127 x 184 = 21218144
Therefore, the lowest common multiple of 227,908,508,736 is 21218144.
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.
227 x 908 x 508 x 736 = 77064299008
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.
227 : 1, 227
908 : 1, 2, 4, 227, 454, 908
508 : 1, 2, 4, 127, 254, 508
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,908,508,736, is 1.
Now, the common factors can be found like this.
227:227
908:2x 2x 227
508:2x 2x 127
736:2x 2x 2x 2x 2x 23
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 227 = 3632
Therefore, the value for common factors is 3632.
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 = 77064299008/(1x3632)
LCM = 77064299008/3632
LCM = 21218144
Thus, we can understand that the LCM of 227,908,508,736 is 21218144.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 908, 508, 736
1. What is the LCM of 227, 908, 508, 736?
Answer: LCM of 227, 908, 508, 736 is 21218144.
2. How to calculate the LCM of 227, 908, 508, 736?
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 227, 908, 508, 736.
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}.