LCM of 639, 305, 393, 675, 823
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 305, 393, 675, 823 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, 305, 393, 675, 823. So, keep reading to learn more.
Given numbers are 639,305,393,675,823
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,305,393,675,823 is 315183219525.
Find LCM of 639,305,393,675,823 with Prime Factorization
| 3 | 639, 305, 393, 675, 823 |
| 3 | 213, 305, 131, 225, 823 |
| 5 | 71, 305, 131, 75, 823 |
| 71, 61, 131, 15, 823 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 71 x 61 x 131 x 15 x 823 = 315183219525
Therefore, the lowest common multiple of 639,305,393,675,823 is 315183219525.
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 305 x 393 x 675 x 823 = 42549734635875
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
305 : 1, 5, 61, 305
393 : 1, 3, 131, 393
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
823 : 1, 823
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,305,393,675,823, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
305:5x 61
393:3x 131
675:3x 3x 3x 5x 5
823:823
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 5 = 135
Therefore, the value for common factors is 135.
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 = 42549734635875/(1x135)
LCM = 42549734635875/135
LCM = 315183219525
Thus, we can understand that the LCM of 639,305,393,675,823 is 315183219525.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 639, 305, 393, 675, 823
1. What is the LCM of 639, 305, 393, 675, 823?
Answer: LCM of 639, 305, 393, 675, 823 is 315183219525.
2. How to calculate the LCM of 639, 305, 393, 675, 823?
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, 305, 393, 675, 823.
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}.