LCM of 639, 516, 823, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 516, 823, 387 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 639, 516, 823, 387. So, keep reading to learn more.
Given numbers are 639,516,823,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,516,823,387 is 90454284.
Find LCM of 639,516,823,387 with Prime Factorization
| 3 | 639, 516, 823, 387 |
| 3 | 213, 172, 823, 129 |
| 43 | 71, 172, 823, 43 |
| 71, 4, 823, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 43 x 71 x 4 x 823 x 1 = 90454284
Therefore, the lowest common multiple of 639,516,823,387 is 90454284.
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.
639 x 516 x 823 x 387 = 105017423724
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.
639 : 1, 3, 9, 71, 213, 639
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
823 : 1, 823
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,516,823,387, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
516:2x 2x 3x 43
823:823
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 43 = 1161
Therefore, the value for common factors is 1161.
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 = 105017423724/(1x1161)
LCM = 105017423724/1161
LCM = 90454284
Thus, we can understand that the LCM of 639,516,823,387 is 90454284.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 639, 516, 823, 387
1. What is the LCM of 639, 516, 823, 387?
Answer: LCM of 639, 516, 823, 387 is 90454284.
2. How to calculate the LCM of 639, 516, 823, 387?
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 639, 516, 823, 387.
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}.