Find the LCM of 138, 611, 259, 993, 756 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 138, 611, 259, 993, 756. So, keep reading to learn more.
Given numbers are 138,611,259,993,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,611,259,993,756 is 130112960796.
Find LCM of 138,611,259,993,756 with Prime Factorization
2 | 138, 611, 259, 993, 756 |
3 | 69, 611, 259, 993, 378 |
7 | 23, 611, 259, 331, 126 |
23, 611, 37, 331, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 611 x 37 x 331 x 18 = 130112960796
Therefore, the lowest common multiple of 138,611,259,993,756 is 130112960796.
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.
138 x 611 x 259 x 993 x 756 = 16394233060296
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
611 : 1, 13, 47, 611
259 : 1, 7, 37, 259
993 : 1, 3, 331, 993
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,611,259,993,756, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
611:13x 47
259:7x 37
993:3x 331
756:2x 2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 16394233060296/(1x126)
LCM = 16394233060296/126
LCM = 130112960796
Thus, we can understand that the LCM of 138,611,259,993,756 is 130112960796.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 138, 611, 259, 993, 756?
Answer: LCM of 138, 611, 259, 993, 756 is 130112960796.
2. How to calculate the LCM of 138, 611, 259, 993, 756?
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 138, 611, 259, 993, 756.
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}.