Find the LCM of 271, 747, 449, 664 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 271, 747, 449, 664. So, keep reading to learn more.
Given numbers are 271,747,449,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,747,449,664 is 727153704.
Find LCM of 271,747,449,664 with Prime Factorization
83 | 271, 747, 449, 664 |
271, 9, 449, 8 |
Multiply the prime numbers at the bottom and the left side.
83 x 271 x 9 x 449 x 8 = 727153704
Therefore, the lowest common multiple of 271,747,449,664 is 727153704.
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.
271 x 747 x 449 x 664 = 60353757432
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.
271 : 1, 271
747 : 1, 3, 9, 83, 249, 747
449 : 1, 449
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,747,449,664, is 1.
Now, the common factors can be found like this.
271:271
747:3x 3x 83
449:449
664:2x 2x 2x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
83 = 83
Therefore, the value for common factors is 83.
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 = 60353757432/(1x83)
LCM = 60353757432/83
LCM = 727153704
Thus, we can understand that the LCM of 271,747,449,664 is 727153704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 271, 747, 449, 664?
Answer: LCM of 271, 747, 449, 664 is 727153704.
2. How to calculate the LCM of 271, 747, 449, 664?
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 271, 747, 449, 664.
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}.