Find the LCM of 381, 837, 309, 531, 721 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 381, 837, 309, 531, 721. So, keep reading to learn more.
Given numbers are 381,837,309,531,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,837,309,531,721 is 4521853161.
Find LCM of 381,837,309,531,721 with Prime Factorization
3 | 381, 837, 309, 531, 721 |
3 | 127, 279, 103, 177, 721 |
103 | 127, 93, 103, 59, 721 |
127, 93, 1, 59, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 103 x 127 x 93 x 1 x 59 x 7 = 4521853161
Therefore, the lowest common multiple of 381,837,309,531,721 is 4521853161.
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.
381 x 837 x 309 x 531 x 721 = 37725820922223
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.
381 : 1, 3, 127, 381
837 : 1, 3, 9, 27, 31, 93, 279, 837
309 : 1, 3, 103, 309
531 : 1, 3, 9, 59, 177, 531
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,837,309,531,721, is 1.
Now, the common factors can be found like this.
381:3x 127
837:3x 3x 3x 31
309:3x 103
531:3x 3x 59
721:7x 103
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 3x 103 = 8343
Therefore, the value for common factors is 8343.
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 = 37725820922223/(1x8343)
LCM = 37725820922223/8343
LCM = 4521853161
Thus, we can understand that the LCM of 381,837,309,531,721 is 4521853161.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 837, 309, 531, 721?
Answer: LCM of 381, 837, 309, 531, 721 is 4521853161.
2. How to calculate the LCM of 381, 837, 309, 531, 721?
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 381, 837, 309, 531, 721.
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}.