LCM of 838, 598, 828, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 598, 828, 419 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 838, 598, 828, 419. So, keep reading to learn more.
Given numbers are 838,598,828,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,598,828,419 is 4510116.
Find LCM of 838,598,828,419 with Prime Factorization
| 2 | 838, 598, 828, 419 |
| 23 | 419, 299, 414, 419 |
| 419 | 419, 13, 18, 419 |
| 1, 13, 18, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 419 x 1 x 13 x 18 x 1 = 4510116
Therefore, the lowest common multiple of 838,598,828,419 is 4510116.
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.
838 x 598 x 828 x 419 = 173855951568
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.
838 : 1, 2, 419, 838
598 : 1, 2, 13, 23, 26, 46, 299, 598
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,598,828,419, is 1.
Now, the common factors can be found like this.
838:2x 419
598:2x 13x 23
828:2x 2x 3x 3x 23
419:419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 23x 419 = 38548
Therefore, the value for common factors is 38548.
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 = 173855951568/(1x38548)
LCM = 173855951568/38548
LCM = 4510116
Thus, we can understand that the LCM of 838,598,828,419 is 4510116.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 838, 598, 828, 419
1. What is the LCM of 838, 598, 828, 419?
Answer: LCM of 838, 598, 828, 419 is 4510116.
2. How to calculate the LCM of 838, 598, 828, 419?
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 838, 598, 828, 419.
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}.