LCM of 383, 387, 713, 514, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 387, 713, 514, 639 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, 387, 713, 514, 639. So, keep reading to learn more.
Given numbers are 383,387,713,514,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,387,713,514,639 is 3856743325062.
Find LCM of 383,387,713,514,639 with Prime Factorization
| 3 | 383, 387, 713, 514, 639 |
| 3 | 383, 129, 713, 514, 213 |
| 383, 43, 713, 514, 71 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 383 x 43 x 713 x 514 x 71 = 3856743325062
Therefore, the lowest common multiple of 383,387,713,514,639 is 3856743325062.
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 387 x 713 x 514 x 639 = 34710689925558
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
387 : 1, 3, 9, 43, 129, 387
713 : 1, 23, 31, 713
514 : 1, 2, 257, 514
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,387,713,514,639, is 1.
Now, the common factors can be found like this.
383:383
387:3x 3x 43
713:23x 31
514:2x 257
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 34710689925558/(1x9)
LCM = 34710689925558/9
LCM = 3856743325062
Thus, we can understand that the LCM of 383,387,713,514,639 is 3856743325062.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 383, 387, 713, 514, 639
1. What is the LCM of 383, 387, 713, 514, 639?
Answer: LCM of 383, 387, 713, 514, 639 is 3856743325062.
2. How to calculate the LCM of 383, 387, 713, 514, 639?
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, 387, 713, 514, 639.
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}.