Find the LCM of 843, 427, 927, 725, 549 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 843, 427, 927, 725, 549. So, keep reading to learn more.
Given numbers are 843,427,927,725,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,427,927,725,549 is 80640263025.
Find LCM of 843,427,927,725,549 with Prime Factorization
3 | 843, 427, 927, 725, 549 |
3 | 281, 427, 309, 725, 183 |
61 | 281, 427, 103, 725, 61 |
281, 7, 103, 725, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 61 x 281 x 7 x 103 x 725 x 1 = 80640263025
Therefore, the lowest common multiple of 843,427,927,725,549 is 80640263025.
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.
843 x 427 x 927 x 725 x 549 = 132814513202175
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.
843 : 1, 3, 281, 843
427 : 1, 7, 61, 427
927 : 1, 3, 9, 103, 309, 927
725 : 1, 5, 25, 29, 145, 725
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,427,927,725,549, is 1.
Now, the common factors can be found like this.
843:3x 281
427:7x 61
927:3x 3x 103
725:5x 5x 29
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 61 = 1647
Therefore, the value for common factors is 1647.
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 = 132814513202175/(1x1647)
LCM = 132814513202175/1647
LCM = 80640263025
Thus, we can understand that the LCM of 843,427,927,725,549 is 80640263025.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 427, 927, 725, 549?
Answer: LCM of 843, 427, 927, 725, 549 is 80640263025.
2. How to calculate the LCM of 843, 427, 927, 725, 549?
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 843, 427, 927, 725, 549.
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}.