LCM of 839, 782, 828, 621
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 782, 828, 621 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 839, 782, 828, 621. So, keep reading to learn more.
Given numbers are 839,782,828,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,782,828,621 is 35429292.
Find LCM of 839,782,828,621 with Prime Factorization
| 2 | 839, 782, 828, 621 |
| 3 | 839, 391, 414, 621 |
| 3 | 839, 391, 138, 207 |
| 23 | 839, 391, 46, 69 |
| 839, 17, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 839 x 17 x 2 x 3 = 35429292
Therefore, the lowest common multiple of 839,782,828,621 is 35429292.
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.
839 x 782 x 828 x 621 = 337357718424
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.
839 : 1, 839
782 : 1, 2, 17, 23, 34, 46, 391, 782
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,782,828,621, is 1.
Now, the common factors can be found like this.
839:839
782:2x 17x 23
828:2x 2x 3x 3x 23
621:3x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23x 23 = 9522
Therefore, the value for common factors is 9522.
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 = 337357718424/(1x9522)
LCM = 337357718424/9522
LCM = 35429292
Thus, we can understand that the LCM of 839,782,828,621 is 35429292.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 839, 782, 828, 621
1. What is the LCM of 839, 782, 828, 621?
Answer: LCM of 839, 782, 828, 621 is 35429292.
2. How to calculate the LCM of 839, 782, 828, 621?
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 839, 782, 828, 621.
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}.