LCM of 383, 679, 715, 510, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 679, 715, 510, 434 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 383, 679, 715, 510, 434. So, keep reading to learn more.
Given numbers are 383,679,715,510,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,679,715,510,434 is 587944667310.
Find LCM of 383,679,715,510,434 with Prime Factorization
| 2 | 383, 679, 715, 510, 434 |
| 5 | 383, 679, 715, 255, 217 |
| 7 | 383, 679, 143, 51, 217 |
| 383, 97, 143, 51, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 383 x 97 x 143 x 51 x 31 = 587944667310
Therefore, the lowest common multiple of 383,679,715,510,434 is 587944667310.
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.
383 x 679 x 715 x 510 x 434 = 41156126711700
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.
383 : 1, 383
679 : 1, 7, 97, 679
715 : 1, 5, 11, 13, 55, 65, 143, 715
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,679,715,510,434, is 1.
Now, the common factors can be found like this.
383:383
679:7x 97
715:5x 11x 13
510:2x 3x 5x 17
434:2x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7 = 70
Therefore, the value for common factors is 70.
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 = 41156126711700/(1x70)
LCM = 41156126711700/70
LCM = 587944667310
Thus, we can understand that the LCM of 383,679,715,510,434 is 587944667310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 383, 679, 715, 510, 434
1. What is the LCM of 383, 679, 715, 510, 434?
Answer: LCM of 383, 679, 715, 510, 434 is 587944667310.
2. How to calculate the LCM of 383, 679, 715, 510, 434?
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 383, 679, 715, 510, 434.
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}.