Find the LCM of 156, 729, 779, 729, 810 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 156, 729, 779, 729, 810. So, keep reading to learn more.
Given numbers are 156,729,779,729,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,729,779,729,810 is 147651660.
Find LCM of 156,729,779,729,810 with Prime Factorization
2 | 156, 729, 779, 729, 810 |
3 | 78, 729, 779, 729, 405 |
3 | 26, 243, 779, 243, 135 |
3 | 26, 81, 779, 81, 45 |
3 | 26, 27, 779, 27, 15 |
3 | 26, 9, 779, 9, 5 |
3 | 26, 3, 779, 3, 5 |
26, 1, 779, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 3 x 3 x 26 x 1 x 779 x 1 x 5 = 147651660
Therefore, the lowest common multiple of 156,729,779,729,810 is 147651660.
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.
156 x 729 x 779 x 729 x 810 = 52312097228040
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
729 : 1, 3, 9, 27, 81, 243, 729
779 : 1, 19, 41, 779
729 : 1, 3, 9, 27, 81, 243, 729
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,729,779,729,810, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
729:3x 3x 3x 3x 3x 3
779:19x 41
729:3x 3x 3x 3x 3x 3
810:2x 3x 3x 3x 3x 5
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 3x 3x 3x 3x 3x 3x 3x 3x 3 = 354294
Therefore, the value for common factors is 354294.
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 = 52312097228040/(1x354294)
LCM = 52312097228040/354294
LCM = 147651660
Thus, we can understand that the LCM of 156,729,779,729,810 is 147651660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 156, 729, 779, 729, 810?
Answer: LCM of 156, 729, 779, 729, 810 is 147651660.
2. How to calculate the LCM of 156, 729, 779, 729, 810?
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 156, 729, 779, 729, 810.
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}.