LCM of 308, 304, 451, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 308, 304, 451, 586 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 308, 304, 451, 586. So, keep reading to learn more.
Given numbers are 308,304,451,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 308,304,451,586 is 281200304.
Find LCM of 308,304,451,586 with Prime Factorization
| 2 | 308, 304, 451, 586 |
| 2 | 154, 152, 451, 293 |
| 11 | 77, 76, 451, 293 |
| 7, 76, 41, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 7 x 76 x 41 x 293 = 281200304
Therefore, the lowest common multiple of 308,304,451,586 is 281200304.
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.
308 x 304 x 451 x 586 = 24745626752
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.
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
451 : 1, 11, 41, 451
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,304,451,586, is 1.
Now, the common factors can be found like this.
308:2x 2x 7x 11
304:2x 2x 2x 2x 19
451:11x 41
586:2x 293
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 11 = 88
Therefore, the value for common factors is 88.
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 = 24745626752/(1x88)
LCM = 24745626752/88
LCM = 281200304
Thus, we can understand that the LCM of 308,304,451,586 is 281200304.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 308, 304, 451, 586
1. What is the LCM of 308, 304, 451, 586?
Answer: LCM of 308, 304, 451, 586 is 281200304.
2. How to calculate the LCM of 308, 304, 451, 586?
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 308, 304, 451, 586.
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}.