LCM of 811, 394, 279, 454
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 811, 394, 279, 454 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 811, 394, 279, 454. So, keep reading to learn more.
Given numbers are 811,394,279,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,394,279,454 is 20237046822.
Find LCM of 811,394,279,454 with Prime Factorization
| 2 | 811, 394, 279, 454 |
| 811, 197, 279, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 811 x 197 x 279 x 227 = 20237046822
Therefore, the lowest common multiple of 811,394,279,454 is 20237046822.
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.
811 x 394 x 279 x 454 = 40474093644
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.
811 : 1, 811
394 : 1, 2, 197, 394
279 : 1, 3, 9, 31, 93, 279
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,394,279,454, is 1.
Now, the common factors can be found like this.
811:811
394:2x 197
279:3x 3x 31
454:2x 227
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 40474093644/(1x2)
LCM = 40474093644/2
LCM = 20237046822
Thus, we can understand that the LCM of 811,394,279,454 is 20237046822.
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FAQs on LCM of 811, 394, 279, 454
1. What is the LCM of 811, 394, 279, 454?
Answer: LCM of 811, 394, 279, 454 is 20237046822.
2. How to calculate the LCM of 811, 394, 279, 454?
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 811, 394, 279, 454.
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}.