LCM of 814, 838, 930, 243, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 838, 930, 243, 578 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 814, 838, 930, 243, 578. So, keep reading to learn more.
Given numbers are 814,838,930,243,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,838,930,243,578 is 3712566507210.
Find LCM of 814,838,930,243,578 with Prime Factorization
| 2 | 814, 838, 930, 243, 578 |
| 3 | 407, 419, 465, 243, 289 |
| 407, 419, 155, 81, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 407 x 419 x 155 x 81 x 289 = 3712566507210
Therefore, the lowest common multiple of 814,838,930,243,578 is 3712566507210.
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.
814 x 838 x 930 x 243 x 578 = 89101596173040
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
838 : 1, 2, 419, 838
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
243 : 1, 3, 9, 27, 81, 243
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,838,930,243,578, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
838:2x 419
930:2x 3x 5x 31
243:3x 3x 3x 3x 3
578:2x 17x 17
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 89101596173040/(1x24)
LCM = 89101596173040/24
LCM = 3712566507210
Thus, we can understand that the LCM of 814,838,930,243,578 is 3712566507210.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 814, 838, 930, 243, 578
1. What is the LCM of 814, 838, 930, 243, 578?
Answer: LCM of 814, 838, 930, 243, 578 is 3712566507210.
2. How to calculate the LCM of 814, 838, 930, 243, 578?
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 814, 838, 930, 243, 578.
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}.