Find the LCM of 859, 123, 759, 759 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 859, 123, 759, 759. So, keep reading to learn more.
Given numbers are 859,123,759,759
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,123,759,759 is 26731221.
Find LCM of 859,123,759,759 with Prime Factorization
3 | 859, 123, 759, 759 |
11 | 859, 41, 253, 253 |
23 | 859, 41, 23, 23 |
859, 41, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 859 x 41 x 1 x 1 = 26731221
Therefore, the lowest common multiple of 859,123,759,759 is 26731221.
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.
859 x 123 x 759 x 759 = 60866990217
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.
859 : 1, 859
123 : 1, 3, 41, 123
759 : 1, 3, 11, 23, 33, 69, 253, 759
759 : 1, 3, 11, 23, 33, 69, 253, 759
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,123,759,759, is 1.
Now, the common factors can be found like this.
859:859
123:3x 41
759:3x 11x 23
759:3x 11x 23
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 11x 23 = 2277
Therefore, the value for common factors is 2277.
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 = 60866990217/(1x2277)
LCM = 60866990217/2277
LCM = 26731221
Thus, we can understand that the LCM of 859,123,759,759 is 26731221.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 859, 123, 759, 759?
Answer: LCM of 859, 123, 759, 759 is 26731221.
2. How to calculate the LCM of 859, 123, 759, 759?
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 859, 123, 759, 759.
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}.