Find the LCM of 139, 984, 721, 369, 379 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 139, 984, 721, 369, 379. So, keep reading to learn more.
Given numbers are 139,984,721,369,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,984,721,369,379 is 112125818952.
Find LCM of 139,984,721,369,379 with Prime Factorization
3 | 139, 984, 721, 369, 379 |
41 | 139, 328, 721, 123, 379 |
139, 8, 721, 3, 379 |
Multiply the prime numbers at the bottom and the left side.
3 x 41 x 139 x 8 x 721 x 3 x 379 = 112125818952
Therefore, the lowest common multiple of 139,984,721,369,379 is 112125818952.
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.
139 x 984 x 721 x 369 x 379 = 13791475731096
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.
139 : 1, 139
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
721 : 1, 7, 103, 721
369 : 1, 3, 9, 41, 123, 369
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,984,721,369,379, is 1.
Now, the common factors can be found like this.
139:139
984:2x 2x 2x 3x 41
721:7x 103
369:3x 3x 41
379:379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 41 = 123
Therefore, the value for common factors is 123.
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 = 13791475731096/(1x123)
LCM = 13791475731096/123
LCM = 112125818952
Thus, we can understand that the LCM of 139,984,721,369,379 is 112125818952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 139, 984, 721, 369, 379?
Answer: LCM of 139, 984, 721, 369, 379 is 112125818952.
2. How to calculate the LCM of 139, 984, 721, 369, 379?
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 139, 984, 721, 369, 379.
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}.