Find the LCM of 809, 436, 841, 268, 493 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 809, 436, 841, 268, 493. So, keep reading to learn more.
Given numbers are 809,436,841,268,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,436,841,268,493 is 337873966876.
Find LCM of 809,436,841,268,493 with Prime Factorization
2 | 809, 436, 841, 268, 493 |
2 | 809, 218, 841, 134, 493 |
29 | 809, 109, 841, 67, 493 |
809, 109, 29, 67, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 29 x 809 x 109 x 29 x 67 x 17 = 337873966876
Therefore, the lowest common multiple of 809,436,841,268,493 is 337873966876.
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.
809 x 436 x 841 x 268 x 493 = 39193380157616
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.
809 : 1, 809
436 : 1, 2, 4, 109, 218, 436
841 : 1, 29, 841
268 : 1, 2, 4, 67, 134, 268
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,436,841,268,493, is 1.
Now, the common factors can be found like this.
809:809
436:2x 2x 109
841:29x 29
268:2x 2x 67
493:17x 29
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 29 = 116
Therefore, the value for common factors is 116.
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 = 39193380157616/(1x116)
LCM = 39193380157616/116
LCM = 337873966876
Thus, we can understand that the LCM of 809,436,841,268,493 is 337873966876.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 809, 436, 841, 268, 493?
Answer: LCM of 809, 436, 841, 268, 493 is 337873966876.
2. How to calculate the LCM of 809, 436, 841, 268, 493?
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 809, 436, 841, 268, 493.
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}.